564821880 has 128 divisors (see below), whose sum is σ = 1942963200. Its totient is φ = 128673792.

The previous prime is 564821869. The next prime is 564821897. The reversal of 564821880 is 88128465.

It is a super-2 number, since 2×564821880² = 638047512253468800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 300624 + ... + 302496.

It is an arithmetic number, because the mean of its divisors is an integer number (15179400).

Almost surely, 2^564821880 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 564821880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (971481600).

564821880 is an abundant number, since it is smaller than the sum of its proper divisors (1378141320).

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

564821880 is a wasteful number, since it uses less digits than its factorization.

564821880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2253 (or 2249 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 42.

The square root of 564821880 is about 23765.9815703034. The cubic root of 564821880 is about 826.6160572844.

The spelling of 564821880 in words is "five hundred sixty-four million, eight hundred twenty-one thousand, eight hundred eighty".