564071040 has 512 divisors, whose sum is σ = 2248243200. Its totient is φ = 134369280.

The previous prime is 564071023. The next prime is 564071041. The reversal of 564071040 is 40170465.

564071040 is a `hidden beast` number, since 5 + 640 + 7 + 10 + 4 + 0 = 666.

It is a super-2 number, since 2×564071040² = 636352276333363200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 564070995 and 564071013.

It is not an unprimeable number, because it can be changed into a prime (564071041) 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 63 ways as a sum of consecutive naturals, for example, 18195825 + ... + 18195855.

It is an arithmetic number, because the mean of its divisors is an integer number (4391100).

Almost surely, 2^564071040 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 564071040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1124121600).

564071040 is an abundant number, since it is smaller than the sum of its proper divisors (1684172160).

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

564071040 is an equidigital number, since it uses as much as digits as its factorization.

564071040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 564071040 is about 23750.1797887932. The cubic root of 564071040 is about 826.2496104176.

The spelling of 564071040 in words is "five hundred sixty-four million, seventy-one thousand, forty".