1164185856 has 108 divisors (see below), whose sum is σ = 3367203840. Its totient is φ = 386841600.

The previous prime is 1164185819. The next prime is 1164185861. The reversal of 1164185856 is 6585814611.

1164185856 is a `hidden beast` number, since 1 + 1 + 64 + 1 + 8 + 585 + 6 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1010881 + ... + 1012031.

Almost surely, 2^1164185856 is an apocalyptic number.

1164185856 is a gapful number since it is divisible by the number (16) 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 1164185856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1683601920).

1164185856 is an abundant number, since it is smaller than the sum of its proper divisors (2203017984).

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

1164185856 is a wasteful number, since it uses less digits than its factorization.

1164185856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1612 (or 1595 counting only the distinct ones).

The product of its digits is 230400, while the sum is 45.

The square root of 1164185856 is about 34120.1678776644. The cubic root of 1164185856 is about 1051.9798942699.

The spelling of 1164185856 in words is "one billion, one hundred sixty-four million, one hundred eighty-five thousand, eight hundred fifty-six".