87664800 has 72 divisors (see below), whose sum is σ = 285356736. Its totient is φ = 23376640.

The previous prime is 87664789. The next prime is 87664853. The reversal of 87664800 is 846678.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15864 + ... + 20663.

It is an arithmetic number, because the mean of its divisors is an integer number (3963288).

Almost surely, 2^87664800 is an apocalyptic number.

87664800 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

87664800 is an abundant number, since it is smaller than the sum of its proper divisors (197691936).

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

87664800 is a wasteful number, since it uses less digits than its factorization.

87664800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36550 (or 36537 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 39.

The square root of 87664800 is about 9362.9482536218. The cubic root of 87664800 is about 444.2305433671.

The spelling of 87664800 in words is "eighty-seven million, six hundred sixty-four thousand, eight hundred".