165856800 has 144 divisors (see below), whose sum is σ = 558714240. Its totient is φ = 42685440.

The previous prime is 165856783. The next prime is 165856819. The reversal of 165856800 is 8658561.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 68409 + ... + 70791.

It is an arithmetic number, because the mean of its divisors is an integer number (3879960).

Almost surely, 2^165856800 is an apocalyptic number.

165856800 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 165856800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279357120).

165856800 is an abundant number, since it is smaller than the sum of its proper divisors (392857440).

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

165856800 is a wasteful number, since it uses less digits than its factorization.

165856800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2435 (or 2422 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 39.

The square root of 165856800 is about 12878.5402899552. The cubic root of 165856800 is about 549.4283868464.

The spelling of 165856800 in words is "one hundred sixty-five million, eight hundred fifty-six thousand, eight hundred".