87179664 has 120 divisors (see below), whose sum is σ = 266313312. Its totient is φ = 24360960.

The previous prime is 87179633. The next prime is 87179669. The reversal of 87179664 is 46697178.

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

It is not an unprimeable number, because it can be changed into a prime (87179669) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 88744 + ... + 89720.

Almost surely, 2^87179664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87179664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133156656).

87179664 is an abundant number, since it is smaller than the sum of its proper divisors (179133648).

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

87179664 is a wasteful number, since it uses less digits than its factorization.

87179664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1025 (or 1006 counting only the distinct ones).

The product of its digits is 508032, while the sum is 48.

The square root of 87179664 is about 9337.0050872858. The cubic root of 87179664 is about 443.4095715021.

It can be divided in two parts, 871796 and 64, that added together give a triangular number (871860 = T₁₃₂₀).

The spelling of 87179664 in words is "eighty-seven million, one hundred seventy-nine thousand, six hundred sixty-four".