560831040 has 560 divisors, whose sum is σ = 2496092544. Its totient is φ = 116121600.

The previous prime is 560831027. The next prime is 560831077. The reversal of 560831040 is 40138065.

560831040 is a `hidden beast` number, since 5 + 608 + 3 + 10 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (560).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 560830995 and 560831013.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1995700 + ... + 1995980.

Almost surely, 2^560831040 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 560831040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1248046272).

560831040 is an abundant number, since it is smaller than the sum of its proper divisors (1935261504).

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

560831040 is a wasteful number, since it uses less digits than its factorization.

560831040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 328 (or 309 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 560831040 is about 23681.8715476628. The cubic root of 560831040 is about 824.6645909285.

The spelling of 560831040 in words is "five hundred sixty million, eight hundred thirty-one thousand, forty".