87856704 has 112 divisors (see below), whose sum is σ = 278221440. Its totient is φ = 27025920.

The previous prime is 87856693. The next prime is 87856721. The reversal of 87856704 is 40765878.

87856704 is a `hidden beast` number, since 87 + 8 + 567 + 0 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 87856704.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20509 + ... + 24419.

It is an arithmetic number, because the mean of its divisors is an integer number (2484120).

Almost surely, 2^87856704 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 87856704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139110720).

87856704 is an abundant number, since it is smaller than the sum of its proper divisors (190364736).

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

87856704 is a wasteful number, since it uses less digits than its factorization.

87856704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3945 (or 3929 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The square root of 87856704 is about 9373.1907054108. The cubic root of 87856704 is about 444.5544570628.

The spelling of 87856704 in words is "eighty-seven million, eight hundred fifty-six thousand, seven hundred four".