564135840 has 480 divisors, whose sum is σ = 2195424000. Its totient is φ = 135862272.

The previous prime is 564135833. The next prime is 564135883. The reversal of 564135840 is 48531465.

It is a happy number.

564135840 is a `hidden beast` number, since 5 + 64 + 13 + 584 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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 = 564135795 and 564135804.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 7140921 + ... + 7140999.

It is an arithmetic number, because the mean of its divisors is an integer number (4573800).

Almost surely, 2^564135840 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 564135840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1097712000).

564135840 is an abundant number, since it is smaller than the sum of its proper divisors (1631288160).

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

564135840 is a wasteful number, since it uses less digits than its factorization.

564135840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 564135840 is about 23751.5439498151. The cubic root of 564135840 is about 826.2812488229.

The spelling of 564135840 in words is "five hundred sixty-four million, one hundred thirty-five thousand, eight hundred forty".