564036000 has 192 divisors, whose sum is σ = 2016233856. Its totient is φ = 136704000.

The previous prime is 564035977. The next prime is 564036023. The reversal of 564036000 is 630465.

It is an interprime number because it is at equal distance from previous prime (564035977) and next prime (564036023).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

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, 129864 + ... + 134136.

It is an arithmetic number, because the mean of its divisors is an integer number (10501218).

Almost surely, 2^564036000 is an apocalyptic number.

564036000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 564036000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1008116928).

564036000 is an abundant number, since it is smaller than the sum of its proper divisors (1452197856).

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

564036000 is a wasteful number, since it uses less digits than its factorization.

564036000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4312 (or 4294 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 564036000 is about 23749.4420987104. The cubic root of 564036000 is about 826.2325012334.

Adding to 564036000 its reverse (630465), we get a palindrome (564666465).

The spelling of 564036000 in words is "five hundred sixty-four million, thirty-six thousand".