561874944 has 96 divisors (see below), whose sum is σ = 1513512000. Its totient is φ = 185352192.

The previous prime is 561874927. The next prime is 561874997. The reversal of 561874944 is 449478165.

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

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 561874893 and 561874902.

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, 669277 + ... + 670115.

It is an arithmetic number, because the mean of its divisors is an integer number (15765750).

Almost surely, 2^561874944 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 561874944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (756756000).

561874944 is an abundant number, since it is smaller than the sum of its proper divisors (951637056).

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

561874944 is a wasteful number, since it uses less digits than its factorization.

561874944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 973 (or 953 counting only the distinct ones).

The product of its digits is 967680, while the sum is 48.

The square root of 561874944 is about 23703.9014510270. The cubic root of 561874944 is about 825.1759375003.

The spelling of 561874944 in words is "five hundred sixty-one million, eight hundred seventy-four thousand, nine hundred forty-four".