285564672 has 108 divisors (see below), whose sum is σ = 843714144. Its totient is φ = 92835840.

The previous prime is 285564667. The next prime is 285564679. The reversal of 285564672 is 276465582.

285564672 is a `hidden beast` number, since 2 + 85 + 564 + 6 + 7 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (285564679) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 92953 + ... + 95975.

It is an arithmetic number, because the mean of its divisors is an integer number (7812168).

Almost surely, 2^285564672 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 285564672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (421857072).

285564672 is an abundant number, since it is smaller than the sum of its proper divisors (558149472).

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

285564672 is a wasteful number, since it uses less digits than its factorization.

285564672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3086 (or 3069 counting only the distinct ones).

The product of its digits is 806400, while the sum is 45.

The square root of 285564672 is about 16898.6588816983. The cubic root of 285564672 is about 658.5187718526.

The spelling of 285564672 in words is "two hundred eighty-five million, five hundred sixty-four thousand, six hundred seventy-two".