564009888 has 96 divisors (see below), whose sum is σ = 1624686336. Its totient is φ = 170247168.

The previous prime is 564009869. The next prime is 564009913. The reversal of 564009888 is 888900465.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×564009888³ (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 61881 + ... + 70407.

It is an arithmetic number, because the mean of its divisors is an integer number (16923816).

Almost surely, 2^564009888 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 564009888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (812343168).

564009888 is an abundant number, since it is smaller than the sum of its proper divisors (1060676448).

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

564009888 is a wasteful number, since it uses less digits than its factorization.

564009888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8606 (or 8598 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 48.

The square root of 564009888 is about 23748.8923531183. The cubic root of 564009888 is about 826.2197509149.

The spelling of 564009888 in words is "five hundred sixty-four million, nine thousand, eight hundred eighty-eight".