165515616 has 96 divisors (see below), whose sum is σ = 551738880. Its totient is φ = 47288448.

The previous prime is 165515599. The next prime is 165515629. The reversal of 165515616 is 616515561.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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, 7636 + ... + 19731.

It is an arithmetic number, because the mean of its divisors is an integer number (5747280).

Almost surely, 2^165515616 is an apocalyptic number.

165515616 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

165515616 is an abundant number, since it is smaller than the sum of its proper divisors (386223264).

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

165515616 is a wasteful number, since it uses less digits than its factorization.

165515616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27393 (or 27379 counting only the distinct ones).

The product of its digits is 27000, while the sum is 36.

The square root of 165515616 is about 12865.2872490279. The cubic root of 165515616 is about 549.0513851990.

It can be divided in two parts, 1655 and 15616, that added together give a palindrome (17271).

The spelling of 165515616 in words is "one hundred sixty-five million, five hundred fifteen thousand, six hundred sixteen".