561047760 has 240 divisors, whose sum is σ = 2319268224. Its totient is φ = 118361088.

The previous prime is 561047741. The next prime is 561047779. The reversal of 561047760 is 67740165.

It is an interprime number because it is at equal distance from previous prime (561047741) and next prime (561047779).

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 61239 + ... + 69801.

Almost surely, 2^561047760 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 561047760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1159634112).

561047760 is an abundant number, since it is smaller than the sum of its proper divisors (1758220464).

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

561047760 is a wasteful number, since it uses less digits than its factorization.

561047760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8602 (or 8593 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 561047760 is about 23686.4467575869. The cubic root of 561047760 is about 824.7708013445.

The spelling of 561047760 in words is "five hundred sixty-one million, forty-seven thousand, seven hundred sixty".