165581328 has 160 divisors (see below), whose sum is σ = 488218752. Its totient is φ = 47923200.

The previous prime is 165581303. The next prime is 165581359. The reversal of 165581328 is 823185561.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1706976 + ... + 1707072.

Almost surely, 2^165581328 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 165581328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244109376).

165581328 is an abundant number, since it is smaller than the sum of its proper divisors (322637424).

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

165581328 is a wasteful number, since it uses less digits than its factorization.

165581328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233 (or 227 counting only the distinct ones).

The product of its digits is 57600, while the sum is 39.

The square root of 165581328 is about 12867.8408445240. The cubic root of 165581328 is about 549.1240359290.

The spelling of 165581328 in words is "one hundred sixty-five million, five hundred eighty-one thousand, three hundred twenty-eight".