564612840 has 192 divisors, whose sum is σ = 2119815360. Its totient is φ = 128808960.

The previous prime is 564612817. The next prime is 564612863. The reversal of 564612840 is 48216465.

564612840 is a `hidden beast` number, since 5 + 646 + 1 + 2 + 8 + 4 + 0 = 666.

564612840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (564612817) and next prime (564612863).

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

It is a junction number, because it is equal to n+sod(n) for n = 564612795 and 564612804.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 63127 + ... + 71513.

It is an arithmetic number, because the mean of its divisors is an integer number (11040705).

Almost surely, 2^564612840 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 564612840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1059907680).

564612840 is an abundant number, since it is smaller than the sum of its proper divisors (1555202520).

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

564612840 is a wasteful number, since it uses less digits than its factorization.

564612840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8432 (or 8425 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 564612840 is about 23761.5832805813. The cubic root of 564612840 is about 826.5140681156.

The spelling of 564612840 in words is "five hundred sixty-four million, six hundred twelve thousand, eight hundred forty".