564007080 has 384 divisors, whose sum is σ = 2181945600. Its totient is φ = 114057216.

The previous prime is 564007061. The next prime is 564007099. The reversal of 564007080 is 80700465.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (564007061) and next prime (564007099).

It is a Harshad number since it is a multiple of its sum of digits (30).

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 95 ways as a sum of consecutive naturals, for example, 4116772 + ... + 4116908.

It is an arithmetic number, because the mean of its divisors is an integer number (5682150).

Almost surely, 2^564007080 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 564007080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1090972800).

564007080 is an abundant number, since it is smaller than the sum of its proper divisors (1617938520).

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

564007080 is a wasteful number, since it uses less digits than its factorization.

564007080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 564007080 is about 23748.8332344981. The cubic root of 564007080 is about 826.2183797634.

The spelling of 564007080 in words is "five hundred sixty-four million, seven thousand, eighty".