165908160 has 168 divisors, whose sum is σ = 622651536. Its totient is φ = 40212480.

The previous prime is 165908153. The next prime is 165908161. The reversal of 165908160 is 61809561.

165908160 is a `hidden beast` number, since 1 + 6 + 590 + 8 + 1 + 60 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (165908161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29062 + ... + 34298.

Almost surely, 2^165908160 is an apocalyptic number.

165908160 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 165908160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311325768).

165908160 is an abundant number, since it is smaller than the sum of its proper divisors (456743376).

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

165908160 is a wasteful number, since it uses less digits than its factorization.

165908160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5271 (or 5258 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 165908160 is about 12880.5341504147. The cubic root of 165908160 is about 549.4850938565.

The spelling of 165908160 in words is "one hundred sixty-five million, nine hundred eight thousand, one hundred sixty".