165936064 has 56 divisors (see below), whose sum is σ = 378671328. Its totient is φ = 70671360.

The previous prime is 165936059. The next prime is 165936079. The reversal of 165936064 is 460639561.

It is a tau number, because it is divible by the number of its divisors (56).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 76434 + ... + 78574.

It is an arithmetic number, because the mean of its divisors is an integer number (6761988).

Almost surely, 2^165936064 is an apocalyptic number.

165936064 is a gapful number since it is divisible by the number (14) 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 165936064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189335664).

165936064 is an abundant number, since it is smaller than the sum of its proper divisors (212735264).

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

165936064 is a wasteful number, since it uses less digits than its factorization.

165936064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2333 (or 2323 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 40.

The square root of 165936064 is about 12881.6172897661. The cubic root of 165936064 is about 549.5158979924.

The spelling of 165936064 in words is "one hundred sixty-five million, nine hundred thirty-six thousand, sixty-four".