165710160 has 480 divisors, whose sum is σ = 719596800. Its totient is φ = 33868800.

The previous prime is 165710137. The next prime is 165710183. The reversal of 165710160 is 61017561.

165710160 is a `hidden beast` number, since 1 + 657 + 1 + 0 + 1 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (165710137) and next prime (165710183).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2716530 + ... + 2716590.

It is an arithmetic number, because the mean of its divisors is an integer number (1499160).

Almost surely, 2^165710160 is an apocalyptic number.

165710160 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 165710160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (359798400).

165710160 is an abundant number, since it is smaller than the sum of its proper divisors (553886640).

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

165710160 is a wasteful number, since it uses less digits than its factorization.

165710160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 27.

The square root of 165710160 is about 12872.8458392074. The cubic root of 165710160 is about 549.2664159279.

The spelling of 165710160 in words is "one hundred sixty-five million, seven hundred ten thousand, one hundred sixty".