165776064 has 112 divisors (see below), whose sum is σ = 477926400. Its totient is φ = 50512896.

The previous prime is 165776033. The next prime is 165776081. The reversal of 165776064 is 460677561.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 105009 + ... + 106575.

It is an arithmetic number, because the mean of its divisors is an integer number (4267200).

Almost surely, 2^165776064 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 165776064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238963200).

165776064 is an abundant number, since it is smaller than the sum of its proper divisors (312150336).

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

165776064 is a wasteful number, since it uses less digits than its factorization.

165776064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1630 (or 1620 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 42.

The square root of 165776064 is about 12875.4053916760. The cubic root of 165776064 is about 549.3392218763.

The spelling of 165776064 in words is "one hundred sixty-five million, seven hundred seventy-six thousand, sixty-four".