87105864 has 64 divisors (see below), whose sum is σ = 222243840. Its totient is φ = 28445760.

The previous prime is 87105797. The next prime is 87105883. The reversal of 87105864 is 46850178.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 412719 + ... + 412929.

It is an arithmetic number, because the mean of its divisors is an integer number (3472560).

Almost surely, 2^87105864 is an apocalyptic number.

It is an amenable number.

87105864 is an abundant number, since it is smaller than the sum of its proper divisors (135137976).

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

87105864 is a wasteful number, since it uses less digits than its factorization.

87105864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 490 (or 486 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 39.

The square root of 87105864 is about 9333.0522338622. The cubic root of 87105864 is about 443.2844166856.

The spelling of 87105864 in words is "eighty-seven million, one hundred five thousand, eight hundred sixty-four".