84560256 has 96 divisors (see below), whose sum is σ = 265491720. Its totient is φ = 25620480.

The previous prime is 84560249. The next prime is 84560269. The reversal of 84560256 is 65206548.

84560256 is a `hidden beast` number, since 8 + 45 + 602 + 5 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 84560256.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9336 + ... + 16008.

Almost surely, 2^84560256 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 84560256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132745860).

84560256 is an abundant number, since it is smaller than the sum of its proper divisors (180931464).

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

84560256 is a wasteful number, since it uses less digits than its factorization.

84560256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6704 (or 6689 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 84560256 is about 9195.6650656709. The cubic root of 84560256 is about 438.9234286501.

The spelling of 84560256 in words is "eighty-four million, five hundred sixty thousand, two hundred fifty-six".