561838080 has 96 divisors (see below), whose sum is σ = 1797541200. Its totient is φ = 149815296.

The previous prime is 561838073. The next prime is 561838091. The reversal of 561838080 is 80838165.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21576 + ... + 39864.

Almost surely, 2^561838080 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 561838080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (898770600).

561838080 is an abundant number, since it is smaller than the sum of its proper divisors (1235703120).

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

561838080 is a wasteful number, since it uses less digits than its factorization.

561838080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18319 (or 18299 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 39.

The square root of 561838080 is about 23703.1238447594. The cubic root of 561838080 is about 825.1578908090.

The spelling of 561838080 in words is "five hundred sixty-one million, eight hundred thirty-eight thousand, eighty".