165716320 has 96 divisors (see below), whose sum is σ = 488146176. Its totient is φ = 51648000.

The previous prime is 165716293. The next prime is 165716329. The reversal of 165716320 is 23617561.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (165716329) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5595 + ... + 19045.

It is an arithmetic number, because the mean of its divisors is an integer number (5084856).

Almost surely, 2^165716320 is an apocalyptic number.

165716320 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 165716320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244073088).

165716320 is an abundant number, since it is smaller than the sum of its proper divisors (322429856).

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

165716320 is a wasteful number, since it uses less digits than its factorization.

165716320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13484 (or 13476 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 31.

The square root of 165716320 is about 12873.0851003169. The cubic root of 165716320 is about 549.2732218658.

The spelling of 165716320 in words is "one hundred sixty-five million, seven hundred sixteen thousand, three hundred twenty".