564516216 has 96 divisors (see below), whose sum is σ = 1729728000. Its totient is φ = 171059040.

The previous prime is 564516193. The next prime is 564516223. The reversal of 564516216 is 612615465.

564516216 is a `hidden beast` number, since 5 + 645 + 1 + 6 + 2 + 1 + 6 = 666.

564516216 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8185 + ... + 34583.

It is an arithmetic number, because the mean of its divisors is an integer number (18018000).

Almost surely, 2^564516216 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 564516216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (864864000).

564516216 is an abundant number, since it is smaller than the sum of its proper divisors (1165211784).

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

564516216 is a wasteful number, since it uses less digits than its factorization.

564516216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26431 (or 26415 counting only the distinct ones).

The product of its digits is 43200, while the sum is 36.

The square root of 564516216 is about 23759.5499957386. The cubic root of 564516216 is about 826.4669174277.

The spelling of 564516216 in words is "five hundred sixty-four million, five hundred sixteen thousand, two hundred sixteen".