1166400 has 147 divisors (see below), whose sum is σ = 4303141. Its totient is φ = 311040.

The previous prime is 1166393. The next prime is 1166401. The reversal of 1166400 is 46611.

The square root of 1166400 is 1080.

It is a perfect power (a square), and thus also a powerful number.

1166400 is a *`hidden beast`* number, since 1 + 1 + 664 + 0 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 419904 + 746496 = 648^2 + 864^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Duffinian number.

It is a nialpdrome in base 6.

It is not an unprimeable number, because it can be changed into a prime (1166401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 233278 + ... + 233282.

2^{1166400} is an apocalyptic number.

1166400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1166400 is the 1080-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1166400

1166400 is an abundant number, since it is smaller than the sum of its proper divisors (3136741).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1166400 is an frugal number, since it uses more digits than its factorization.

1166400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The cubic root of 1166400 is about 105.2646385757.

Multiplying 1166400 by its product of nonzero digits (144), we get a square (167961600 = 12960^{2}).

1166400 divided by its product of nonzero digits (144) gives a square (8100 = 90^{2}).

The spelling of 1166400 in words is "one million, one hundred sixty-six thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 27 30 32 36 40 45 48 50 54 60 64 72 75 80 81 90 96 100 108 120 135 144 150 160 162 180 192 200 216 225 240 243 270 288 300 320 324 360 400 405 432 450 480 486 540 576 600 648 675 720 729 800 810 864 900 960 972 1080 1200 1215 1296 1350 1440 1458 1600 1620 1728 1800 1944 2025 2160 2400 2430 2592 2700 2880 2916 3240 3600 3645 3888 4050 4320 4800 4860 5184 5400 5832 6075 6480 7200 7290 7776 8100 8640 9720 10800 11664 12150 12960 14400 14580 15552 16200 18225 19440 21600 23328 24300 25920 29160 32400 36450 38880 43200 46656 48600 58320 64800 72900 77760 97200 116640 129600 145800 194400 233280 291600 388800 583200 1166400

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