561432768 has 112 divisors (see below), whose sum is σ = 1637239296. Its totient is φ = 168698880.

The previous prime is 561432757. The next prime is 561432793. The reversal of 561432768 is 867234165.

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, 104713 + ... + 109943.

It is an arithmetic number, because the mean of its divisors is an integer number (14618208).

Almost surely, 2^561432768 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 561432768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (818619648).

561432768 is an abundant number, since it is smaller than the sum of its proper divisors (1075806528).

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

561432768 is a wasteful number, since it uses less digits than its factorization.

561432768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5302 (or 5292 counting only the distinct ones).

The product of its digits is 241920, while the sum is 42.

The square root of 561432768 is about 23694.5725430952. The cubic root of 561432768 is about 824.9594191242.

The spelling of 561432768 in words is "five hundred sixty-one million, four hundred thirty-two thousand, seven hundred sixty-eight".