87588630 has 48 divisors (see below), whose sum is σ = 228206160. Its totient is φ = 23308224.

The previous prime is 87588601. The next prime is 87588637. The reversal of 87588630 is 3688578.

87588630 is a `hidden beast` number, since 8 + 7 + 5 + 8 + 8 + 630 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87588637) 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, 68941 + ... + 70199.

It is an arithmetic number, because the mean of its divisors is an integer number (4754295).

Almost surely, 2^87588630 is an apocalyptic number.

87588630 is an abundant number, since it is smaller than the sum of its proper divisors (140617530).

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

87588630 is a wasteful number, since it uses less digits than its factorization.

87588630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2045 (or 2042 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 87588630 is about 9358.8797406527. The cubic root of 87588630 is about 444.1018453974.

The spelling of 87588630 in words is "eighty-seven million, five hundred eighty-eight thousand, six hundred thirty".