86256256 has 64 divisors (see below), whose sum is σ = 181984320. Its totient is φ = 40640512.

The previous prime is 86256223. The next prime is 86256263. The reversal of 86256256 is 65265268.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 244176 + ... + 244528.

It is an arithmetic number, because the mean of its divisors is an integer number (2843505).

Almost surely, 2^86256256 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 86256256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90992160).

86256256 is an abundant number, since it is smaller than the sum of its proper divisors (95728064).

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

86256256 is a wasteful number, since it uses less digits than its factorization.

86256256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 473 (or 461 counting only the distinct ones).

The product of its digits is 172800, while the sum is 40.

The square root of 86256256 is about 9287.4246161140. The cubic root of 86256256 is about 441.8384782762.

The spelling of 86256256 in words is "eighty-six million, two hundred fifty-six thousand, two hundred fifty-six".