564741072 has 150 divisors (see below), whose sum is σ = 1901599458. Its totient is φ = 161336448.

The previous prime is 564741031. The next prime is 564741083. The reversal of 564741072 is 270147465.

564741072 is a `hidden beast` number, since 5 + 647 + 4 + 1 + 0 + 7 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 386358336 + 178382736 = 19656^2 + 13356^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 59058 + ... + 67950.

Almost surely, 2^564741072 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 564741072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (950799729).

564741072 is an abundant number, since it is smaller than the sum of its proper divisors (1336858386).

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

564741072 is a wasteful number, since it uses less digits than its factorization.

564741072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8927 (or 8905 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The square root of 564741072 is about 23764.2814324355. The cubic root of 564741072 is about 826.5766346047.

The spelling of 564741072 in words is "five hundred sixty-four million, seven hundred forty-one thousand, seventy-two".