87668856 has 144 divisors (see below), whose sum is σ = 270761400. Its totient is φ = 25576320.

The previous prime is 87668849. The next prime is 87668857. The reversal of 87668856 is 65886678.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87668857) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 252475 + ... + 252821.

Almost surely, 2^87668856 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 87668856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135380700).

87668856 is an abundant number, since it is smaller than the sum of its proper divisors (183092544).

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

87668856 is a wasteful number, since it uses less digits than its factorization.

87668856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 410 (or 392 counting only the distinct ones).

The product of its digits is 3870720, while the sum is 54.

The square root of 87668856 is about 9363.1648495581. The cubic root of 87668856 is about 444.2373943544.

The spelling of 87668856 in words is "eighty-seven million, six hundred sixty-eight thousand, eight hundred fifty-six".