564902016 has 64 divisors (see below), whose sum is σ = 1714889280. Its totient is φ = 161399808.

The previous prime is 564902003. The next prime is 564902021. The reversal of 564902016 is 610209465.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-3 number, since 3×564902016³ (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 102391 + ... + 107766.

It is an arithmetic number, because the mean of its divisors is an integer number (26795145).

Almost surely, 2^564902016 is an apocalyptic number.

564902016 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

564902016 is an abundant number, since it is smaller than the sum of its proper divisors (1149987264).

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

564902016 is a wasteful number, since it uses less digits than its factorization.

564902016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210181 (or 210169 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 564902016 is about 23767.6674497099. The cubic root of 564902016 is about 826.6551484116.

The spelling of 564902016 in words is "five hundred sixty-four million, nine hundred two thousand, sixteen".