561375360 has 960 divisors, whose sum is σ = 2659207320. Its totient is φ = 111476736.

The previous prime is 561375317. The next prime is 561375391. The reversal of 561375360 is 63573165.

It is a happy number.

561375360 is a `hidden beast` number, since 5 + 613 + 7 + 5 + 36 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 427000896 + 134374464 = 20664^2 + 11592^2 .

It is a tau number, because it is divible by the number of its divisors (960).

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 119 ways as a sum of consecutive naturals, for example, 33022072 + ... + 33022088.

Almost surely, 2^561375360 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 561375360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1329603660).

561375360 is an abundant number, since it is smaller than the sum of its proper divisors (2097831960).

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

561375360 is a wasteful number, since it uses less digits than its factorization.

561375360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 56700, while the sum is 36.

The square root of 561375360 is about 23693.3610954630. The cubic root of 561375360 is about 824.9313000645.

The spelling of 561375360 in words is "five hundred sixty-one million, three hundred seventy-five thousand, three hundred sixty".