116640 has 84 divisors (see below), whose sum is σ = 413154. Its totient is φ = 31104.

The previous prime is 116639. The next prime is 116657. The reversal of 116640 is 46611.

116640 is a *`hidden beast`* number, since 1 + 1 + 664 + 0 = 666.

116640 is nontrivially palindromic in base 11.

It can be written as a sum of positive squares in only one way, i.e., 104976 + 11664 = 324^2 + 108^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 23326 + ... + 23330.

116640 is a Friedman number, since it can be written as (10*6^6*1)/4, using all its digits and the basic arithmetic operations.

2^{116640} is an apocalyptic number.

116640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 116640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206577).

116640 is an abundant number, since it is smaller than the sum of its proper divisors (296514).

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

116640 is an frugal number, since it uses more digits than its factorization.

116640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33 (or 10 counting only the distinct ones).

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

The square root of 116640 is about 341.5259872982. The cubic root of 116640 is about 48.8595170987.

It can be divided in two parts, 1 and 16640, that added together give a square (16641 = 129^{2}).

The spelling of 116640 in words is "one hundred sixteen thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 72 80 81 90 96 108 120 135 144 160 162 180 216 240 243 270 288 324 360 405 432 480 486 540 648 720 729 810 864 972 1080 1215 1296 1440 1458 1620 1944 2160 2430 2592 2916 3240 3645 3888 4320 4860 5832 6480 7290 7776 9720 11664 12960 14580 19440 23328 29160 38880 58320 116640

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