560961120 has 96 divisors (see below), whose sum is σ = 1824076800. Its totient is φ = 144760320.

The previous prime is 560961113. The next prime is 560961161. The reversal of 560961120 is 21169065.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3970 + ... + 33729.

It is an arithmetic number, because the mean of its divisors is an integer number (19000800).

Almost surely, 2^560961120 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 560961120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (912038400).

560961120 is an abundant number, since it is smaller than the sum of its proper divisors (1263115680).

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

560961120 is a wasteful number, since it uses less digits than its factorization.

560961120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37748 (or 37740 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 30.

The square root of 560961120 is about 23684.6177929896. The cubic root of 560961120 is about 824.7283439841.

The spelling of 560961120 in words is "five hundred sixty million, nine hundred sixty-one thousand, one hundred twenty".