564013216 has 96 divisors (see below), whose sum is σ = 1276239888. Its totient is φ = 243056640.

The previous prime is 564013183. The next prime is 564013249. The reversal of 564013216 is 612310465.

It is an interprime number because it is at equal distance from previous prime (564013183) and next prime (564013249).

It can be written as a sum of positive squares in 8 ways, for example, as 338412816 + 225600400 = 18396^2 + 15020^2 .

It is a super-2 number, since 2×564013216² = 636221815645325312, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1223226 + ... + 1223686.

Almost surely, 2^564013216 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 564013216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (638119944).

564013216 is an abundant number, since it is smaller than the sum of its proper divisors (712226672).

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

564013216 is a wasteful number, since it uses less digits than its factorization.

564013216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 674 (or 666 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 28.

The square root of 564013216 is about 23748.9624194406. The cubic root of 564013216 is about 826.2213759774.

The spelling of 564013216 in words is "five hundred sixty-four million, thirteen thousand, two hundred sixteen".