96584256 has 84 divisors (see below), whose sum is σ = 280755852. Its totient is φ = 31739904.

The previous prime is 96584237. The next prime is 96584261. The reversal of 96584256 is 65248569.

It can be written as a sum of positive squares in 2 ways, for example, as 50126400 + 46457856 = 7080^2 + 6816^2 .

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, 40900 + ... + 43196.

Almost surely, 2^96584256 is an apocalyptic number.

96584256 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 96584256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140377926).

96584256 is an abundant number, since it is smaller than the sum of its proper divisors (184171596).

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

96584256 is a wasteful number, since it uses less digits than its factorization.

96584256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2388 (or 2375 counting only the distinct ones).

The product of its digits is 518400, while the sum is 45.

The square root of 96584256 is about 9827.7289339908. The cubic root of 96584256 is about 458.8127163944.

The spelling of 96584256 in words is "ninety-six million, five hundred eighty-four thousand, two hundred fifty-six".