564771840 has 176 divisors, whose sum is σ = 1832277888. Its totient is φ = 148455424.

The previous prime is 564771833. The next prime is 564771863. The reversal of 564771840 is 48177465.

It is a junction number, because it is equal to n+sod(n) for n = 564771792 and 564771801.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 1274659 + ... + 1275101.

Almost surely, 2^564771840 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 564771840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (916138944).

564771840 is an abundant number, since it is smaller than the sum of its proper divisors (1267506048).

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

564771840 is a wasteful number, since it uses less digits than its factorization.

564771840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 554 (or 536 counting only the distinct ones).

The product of its (nonzero) digits is 188160, while the sum is 42.

The square root of 564771840 is about 23764.9287817153. The cubic root of 564771840 is about 826.5916454060.

The spelling of 564771840 in words is "five hundred sixty-four million, seven hundred seventy-one thousand, eight hundred forty".