87872164 has 12 divisors (see below), whose sum is σ = 153846000. Its totient is φ = 43916168.

The previous prime is 87872153. The next prime is 87872171. The reversal of 87872164 is 46127878.

It is a nialpdrome in base 14.

It is a self number, because there is not a number n which added to its sum of digits gives 87872164.

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 3 ways as a sum of consecutive naturals, for example, 9867 + ... + 16525.

It is an arithmetic number, because the mean of its divisors is an integer number (12820500).

Almost surely, 2^87872164 is an apocalyptic number.

It is an amenable number.

87872164 is a deficient number, since it is larger than the sum of its proper divisors (65973836).

87872164 is a wasteful number, since it uses less digits than its factorization.

87872164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9962 (or 9960 counting only the distinct ones).

The product of its digits is 150528, while the sum is 43.

The square root of 87872164 is about 9374.0153616260. The cubic root of 87872164 is about 444.5805313728.

The spelling of 87872164 in words is "eighty-seven million, eight hundred seventy-two thousand, one hundred sixty-four".