561817344 has 144 divisors (see below), whose sum is σ = 1655345664. Its totient is φ = 167731200.

The previous prime is 561817313. The next prime is 561817349. The reversal of 561817344 is 443718165.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (561817349) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 616249 + ... + 617159.

It is an arithmetic number, because the mean of its divisors is an integer number (11495456).

Almost surely, 2^561817344 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 561817344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (827672832).

561817344 is an abundant number, since it is smaller than the sum of its proper divisors (1093528320).

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

561817344 is a wasteful number, since it uses less digits than its factorization.

561817344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1014 (or 1000 counting only the distinct ones).

The product of its digits is 80640, while the sum is 39.

The square root of 561817344 is about 23702.6864300231. The cubic root of 561817344 is about 825.1477391982.

The spelling of 561817344 in words is "five hundred sixty-one million, eight hundred seventeen thousand, three hundred forty-four".