87608576 has 72 divisors (see below), whose sum is σ = 194703264. Its totient is φ = 39004160.

The previous prime is 87608527. The next prime is 87608579. The reversal of 87608576 is 67580678.

It is a self number, because there is not a number n which added to its sum of digits gives 87608576.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87608579) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 148955 + ... + 149541.

It is an arithmetic number, because the mean of its divisors is an integer number (2704212).

Almost surely, 2^87608576 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 87608576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97351632).

87608576 is an abundant number, since it is smaller than the sum of its proper divisors (107094688).

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

87608576 is a wasteful number, since it uses less digits than its factorization.

87608576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 667 (or 653 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 47.

The square root of 87608576 is about 9359.9452989855. The cubic root of 87608576 is about 444.1355536656.

The spelling of 87608576 in words is "eighty-seven million, six hundred eight thousand, five hundred seventy-six".