86257872 has 200 divisors, whose sum is σ = 273672960. Its totient is φ = 26127360.

The previous prime is 86257849. The next prime is 86257901. The reversal of 86257872 is 27875268.

86257872 is a `hidden beast` number, since 8 + 6 + 2 + 578 + 72 = 666.

Its product of digits (376320) is a multiple of the sum of its prime divisors (168).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 763288 + ... + 763400.

Almost surely, 2^86257872 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 86257872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136836480).

86257872 is an abundant number, since it is smaller than the sum of its proper divisors (187415088).

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

86257872 is a wasteful number, since it uses less digits than its factorization.

86257872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183 (or 168 counting only the distinct ones).

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

The square root of 86257872 is about 9287.5116150668. The cubic root of 86257872 is about 441.8412375215.

The spelling of 86257872 in words is "eighty-six million, two hundred fifty-seven thousand, eight hundred seventy-two".