165893120 has 44 divisors (see below), whose sum is σ = 397961364. Its totient is φ = 66355200.

The previous prime is 165893113. The next prime is 165893129. The reversal of 165893120 is 21398561.

165893120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 131974144 + 33918976 = 11488^2 + 5824^2 .

It is a Smith number, since the sum of its digits (35) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (165893129) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 11081 + ... + 21320.

Almost surely, 2^165893120 is an apocalyptic number.

165893120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

165893120 is an abundant number, since it is smaller than the sum of its proper divisors (232068244).

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

165893120 is an equidigital number, since it uses as much as digits as its factorization.

165893120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32426 (or 32408 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 35.

The square root of 165893120 is about 12879.9503104632. The cubic root of 165893120 is about 549.4684892773.

The spelling of 165893120 in words is "one hundred sixty-five million, eight hundred ninety-three thousand, one hundred twenty".