1168000 has 64 divisors (see below), whose sum is σ = 2943720. Its totient is φ = 460800.

The previous prime is 1167973. The next prime is 1168001. The reversal of 1168000 is 8611.

It can be written as a sum of positive squares in 4 ways, for example, as 379456 + 788544 = 616^2 + 888^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-4 number, since 4×1168000⁴ (a number of 25 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (1168001) 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 7 ways as a sum of consecutive naturals, for example, 15964 + ... + 16036.

2^1168000 is an apocalyptic number.

1168000 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 1168000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1471860).

1168000 is an abundant number, since it is smaller than the sum of its proper divisors (1775720).

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

1168000 is an frugal number, since it uses more digits than its factorization.

1168000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

The square root of 1168000 is about 1080.7404868885. The cubic root of 1168000 is about 105.3127485634.

The spelling of 1168000 in words is "one million, one hundred sixty-eight thousand".