165936576 has 112 divisors (see below), whose sum is σ = 497840000. Its totient is φ = 48356352.

The previous prime is 165936539. The next prime is 165936593. The reversal of 165936576 is 675639561.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45675 + ... + 49173.

It is an arithmetic number, because the mean of its divisors is an integer number (4445000).

Almost surely, 2^165936576 is an apocalyptic number.

165936576 is a gapful number since it is divisible by the number (16) 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 165936576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248920000).

165936576 is an abundant number, since it is smaller than the sum of its proper divisors (331903424).

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

165936576 is a wasteful number, since it uses less digits than its factorization.

165936576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3546 (or 3536 counting only the distinct ones).

The product of its digits is 1020600, while the sum is 48.

The square root of 165936576 is about 12881.6371630317. The cubic root of 165936576 is about 549.5164631736.

The spelling of 165936576 in words is "one hundred sixty-five million, nine hundred thirty-six thousand, five hundred seventy-six".