165931920 has 480 divisors, whose sum is σ = 721453824. Its totient is φ = 33177600.

The previous prime is 165931919. The next prime is 165931957. The reversal of 165931920 is 29139561.

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 95 ways as a sum of consecutive naturals, for example, 2273004 + ... + 2273076.

Almost surely, 2^165931920 is an apocalyptic number.

165931920 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 165931920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (360726912).

165931920 is an abundant number, since it is smaller than the sum of its proper divisors (555521904).

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

165931920 is a wasteful number, since it uses less digits than its factorization.

165931920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 14580, while the sum is 36.

The square root of 165931920 is about 12881.4564393938. The cubic root of 165931920 is about 549.5113235140.

The spelling of 165931920 in words is "one hundred sixty-five million, nine hundred thirty-one thousand, nine hundred twenty".