87947664 has 160 divisors (see below), whose sum is σ = 279624960. Its totient is φ = 23248896.

The previous prime is 87947659. The next prime is 87947677. The reversal of 87947664 is 46674978.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 508282 + ... + 508454.

It is an arithmetic number, because the mean of its divisors is an integer number (1747656).

Almost surely, 2^87947664 is an apocalyptic number.

87947664 is a gapful number since it is divisible by the number (84) 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 87947664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139812480).

87947664 is an abundant number, since it is smaller than the sum of its proper divisors (191677296).

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

87947664 is a wasteful number, since it uses less digits than its factorization.

87947664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297 (or 291 counting only the distinct ones).

The product of its digits is 2032128, while the sum is 51.

The square root of 87947664 is about 9378.0415866001. The cubic root of 87947664 is about 444.7078231867.

The spelling of 87947664 in words is "eighty-seven million, nine hundred forty-seven thousand, six hundred sixty-four".