165645360 has 60 divisors (see below), whose sum is σ = 556294752. Its totient is φ = 44171904.

The previous prime is 165645329. The next prime is 165645421. The reversal of 165645360 is 63546561.

165645360 is a `hidden beast` number, since 1 + 6 + 5 + 645 + 3 + 6 + 0 = 666.

165645360 is digitally balanced in base 2 and base 3, because in such bases 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 (60).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 114312 + ... + 115751.

Almost surely, 2^165645360 is an apocalyptic number.

165645360 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

165645360 is an abundant number, since it is smaller than the sum of its proper divisors (390649392).

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

165645360 is a wasteful number, since it uses less digits than its factorization.

165645360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230082 (or 230073 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The square root of 165645360 is about 12870.3286671320. The cubic root of 165645360 is about 549.1948107747.

It can be divided in two parts, 16 and 5645360, that added together give a square (5645376 = 2376²).

The spelling of 165645360 in words is "one hundred sixty-five million, six hundred forty-five thousand, three hundred sixty".