165914560 has 112 divisors (see below), whose sum is σ = 478194624. Its totient is φ = 53526528.

The previous prime is 165914557. The next prime is 165914587. The reversal of 165914560 is 65419561.

165914560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (112).

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, 35902 + ... + 40258.

Almost surely, 2^165914560 is an apocalyptic number.

165914560 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 165914560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239097312).

165914560 is an abundant number, since it is smaller than the sum of its proper divisors (312280064).

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

165914560 is a wasteful number, since it uses less digits than its factorization.

165914560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4398 (or 4388 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 37.

The square root of 165914560 is about 12880.7825849208. The cubic root of 165914560 is about 549.4921593305.

The spelling of 165914560 in words is "one hundred sixty-five million, nine hundred fourteen thousand, five hundred sixty".