165715680 has 96 divisors (see below), whose sum is σ = 562179744. Its totient is φ = 40790016.

The previous prime is 165715651. The next prime is 165715681. The reversal of 165715680 is 86517561.

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (165715681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7039 + ... + 19518.

It is an arithmetic number, because the mean of its divisors is an integer number (5856039).

Almost surely, 2^165715680 is an apocalyptic number.

165715680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

165715680 is an abundant number, since it is smaller than the sum of its proper divisors (396464064).

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

165715680 is a wasteful number, since it uses less digits than its factorization.

165715680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26588 (or 26580 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 39.

The square root of 165715680 is about 12873.0602422268. The cubic root of 165715680 is about 549.2725147632.

The spelling of 165715680 in words is "one hundred sixty-five million, seven hundred fifteen thousand, six hundred eighty".