165924160 has 112 divisors (see below), whose sum is σ = 410382720. Its totient is φ = 63866880.

The previous prime is 165924149. The next prime is 165924179. The reversal of 165924160 is 61429561.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1522186 + ... + 1522294.

Almost surely, 2^165924160 is an apocalyptic number.

165924160 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 165924160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205191360).

165924160 is an abundant number, since it is smaller than the sum of its proper divisors (244458560).

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

165924160 is a wasteful number, since it uses less digits than its factorization.

165924160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264 (or 254 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 34.

The square root of 165924160 is about 12881.1552276960. The cubic root of 165924160 is about 549.5027572009.

The spelling of 165924160 in words is "one hundred sixty-five million, nine hundred twenty-four thousand, one hundred sixty".