165564800 has 96 divisors (see below), whose sum is σ = 422443200. Its totient is φ = 64051200.

The previous prime is 165564781. The next prime is 165564823. The reversal of 165564800 is 8465561.

It is a happy number.

It is a congruent number.

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, 98366 + ... + 100034.

It is an arithmetic number, because the mean of its divisors is an integer number (4400450).

Almost surely, 2^165564800 is an apocalyptic number.

165564800 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 165564800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211221600).

165564800 is an abundant number, since it is smaller than the sum of its proper divisors (256878400).

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

165564800 is a wasteful number, since it uses less digits than its factorization.

165564800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1724 (or 1707 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 35.

The square root of 165564800 is about 12867.1986073115. The cubic root of 165564800 is about 549.1057644968.

The spelling of 165564800 in words is "one hundred sixty-five million, five hundred sixty-four thousand, eight hundred".