564662016 has 216 divisors, whose sum is σ = 1752157680. Its totient is φ = 181149696.

The previous prime is 564662011. The next prime is 564662023. The reversal of 564662016 is 610266465.

It is a happy number.

564662016 is a `hidden beast` number, since 5 + 646 + 6 + 2 + 0 + 1 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (216).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (564662011) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1803876 + ... + 1804188.

Almost surely, 2^564662016 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 564662016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (876078840).

564662016 is an abundant number, since it is smaller than the sum of its proper divisors (1187495664).

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

564662016 is an equidigital number, since it uses as much as digits as its factorization.

564662016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 373 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 564662016 is about 23762.6180375816. The cubic root of 564662016 is about 826.5380630097.

The spelling of 564662016 in words is "five hundred sixty-four million, six hundred sixty-two thousand, sixteen".