564665040 has 160 divisors (see below), whose sum is σ = 1956303360. Its totient is φ = 149700096.

The previous prime is 564664999. The next prime is 564665041. The reversal of 564665040 is 40566465.

It is a happy number.

564665040 is a `hidden beast` number, since 5 + 646 + 6 + 5 + 0 + 4 + 0 = 666.

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 = 564664986 and 564665004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (564665041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 424857 + ... + 426183.

It is an arithmetic number, because the mean of its divisors is an integer number (12226896).

Almost surely, 2^564665040 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 564665040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (978151680).

564665040 is an abundant number, since it is smaller than the sum of its proper divisors (1391638320).

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

564665040 is a wasteful number, since it uses less digits than its factorization.

564665040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1546 (or 1534 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 564665040 is about 23762.6816668490. The cubic root of 564665040 is about 826.5395384921.

The spelling of 564665040 in words is "five hundred sixty-four million, six hundred sixty-five thousand, forty".