560294064 has 160 divisors (see below), whose sum is σ = 1767982080. Its totient is φ = 168480000.

The previous prime is 560294057. The next prime is 560294113. The reversal of 560294064 is 460492065.

560294064 is a `hidden beast` number, since 5 + 602 + 9 + 40 + 6 + 4 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 745689 + ... + 746439.

It is an arithmetic number, because the mean of its divisors is an integer number (11049888).

Almost surely, 2^560294064 is an apocalyptic number.

560294064 is a gapful number since it is divisible by the number (54) 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 560294064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (883991040).

560294064 is an abundant number, since it is smaller than the sum of its proper divisors (1207688016).

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

560294064 is a wasteful number, since it uses less digits than its factorization.

560294064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 936 (or 924 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 560294064 is about 23670.5315529669. The cubic root of 560294064 is about 824.4013111010.

The spelling of 560294064 in words is "five hundred sixty million, two hundred ninety-four thousand, sixty-four".