165285360 has 200 divisors, whose sum is σ = 599559840. Its totient is φ = 42121728.

The previous prime is 165285347. The next prime is 165285377. The reversal of 165285360 is 63582561.

165285360 is a `hidden beast` number, since 16 + 5 + 285 + 360 = 666.

165285360 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 148486 + ... + 149594.

Almost surely, 2^165285360 is an apocalyptic number.

165285360 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 165285360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299779920).

165285360 is an abundant number, since it is smaller than the sum of its proper divisors (434274480).

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

165285360 is a wasteful number, since it uses less digits than its factorization.

165285360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1157 (or 1142 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 165285360 is about 12856.3354032166. The cubic root of 165285360 is about 548.7966639264.

The spelling of 165285360 in words is "one hundred sixty-five million, two hundred eighty-five thousand, three hundred sixty".