87664500 has 432 divisors, whose sum is σ = 362509056. Its totient is φ = 17424000.

The previous prime is 87664471. The next prime is 87664531. The reversal of 87664500 is 546678.

It is a happy number.

87664500 is a `hidden beast` number, since 8 + 7 + 6 + 645 + 0 + 0 = 666.

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 polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3811489 + ... + 3811511.

Almost surely, 2^87664500 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 87664500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181254528).

87664500 is an abundant number, since it is smaller than the sum of its proper divisors (274844556).

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

87664500 is a wasteful number, since it uses less digits than its factorization.

87664500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 87664500 is about 9362.9322330133. The cubic root of 87664500 is about 444.2300366288.

The spelling of 87664500 in words is "eighty-seven million, six hundred sixty-four thousand, five hundred".