165904368 has 80 divisors (see below), whose sum is σ = 501801216. Its totient is φ = 46241280.

The previous prime is 165904357. The next prime is 165904381. The reversal of 165904368 is 863409561.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7755 + ... + 19797.

Almost surely, 2^165904368 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 165904368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250900608).

165904368 is an abundant number, since it is smaller than the sum of its proper divisors (335896848).

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

165904368 is a wasteful number, since it uses less digits than its factorization.

165904368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12102 (or 12096 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 42.

The square root of 165904368 is about 12880.3869507092. The cubic root of 165904368 is about 549.4809074774.

The spelling of 165904368 in words is "one hundred sixty-five million, nine hundred four thousand, three hundred sixty-eight".