87275664 has 320 divisors, whose sum is σ = 317440000. Its totient is φ = 22861440.

The previous prime is 87275647. The next prime is 87275693. The reversal of 87275664 is 46657278.

87275664 is a `hidden beast` number, since 87 + 2 + 7 + 566 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2815329 + ... + 2815359.

It is an arithmetic number, because the mean of its divisors is an integer number (992000).

Almost surely, 2^87275664 is an apocalyptic number.

87275664 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 87275664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158720000).

87275664 is an abundant number, since it is smaller than the sum of its proper divisors (230164336).

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

87275664 is a wasteful number, since it uses less digits than its factorization.

87275664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 62 counting only the distinct ones).

The product of its digits is 564480, while the sum is 45.

The square root of 87275664 is about 9342.1445075529. The cubic root of 87275664 is about 443.5722688628.

The spelling of 87275664 in words is "eighty-seven million, two hundred seventy-five thousand, six hundred sixty-four".