560901120 has 264 divisors, whose sum is σ = 1969148496. Its totient is φ = 135462912.

The previous prime is 560901059. The next prime is 560901137. The reversal of 560901120 is 21109065.

It is a super-2 number, since 2×560901120² = 629220132834508800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 23 ways as a sum of consecutive naturals, for example, 10583014 + ... + 10583066.

Almost surely, 2^560901120 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 560901120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (984574248).

560901120 is an abundant number, since it is smaller than the sum of its proper divisors (1408247376).

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

560901120 is a wasteful number, since it uses less digits than its factorization.

560901120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 24.

The square root of 560901120 is about 23683.3511142321. The cubic root of 560901120 is about 824.6989388178.

The spelling of 560901120 in words is "five hundred sixty million, nine hundred one thousand, one hundred twenty".