560864772 has 144 divisors (see below), whose sum is σ = 1602345472. Its totient is φ = 164229120.

The previous prime is 560864761. The next prime is 560864779. The reversal of 560864772 is 277468065.

560864772 is a `hidden beast` number, since 560 + 86 + 4 + 7 + 7 + 2 = 666.

It is a super-2 number, since 2×560864772² = 629138584941223968, which contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (560864779) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 971748 + ... + 972324.

Almost surely, 2^560864772 is an apocalyptic number.

560864772 is a gapful number since it is divisible by the number (52) 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 560864772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (801172736).

560864772 is an abundant number, since it is smaller than the sum of its proper divisors (1041480700).

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

560864772 is a wasteful number, since it uses less digits than its factorization.

560864772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 698 (or 693 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The square root of 560864772 is about 23682.5837272879. The cubic root of 560864772 is about 824.6811241481.

The spelling of 560864772 in words is "five hundred sixty million, eight hundred sixty-four thousand, seven hundred seventy-two".