561259600 has 120 divisors (see below), whose sum is σ = 1480708800. Its totient is φ = 202752000.

The previous prime is 561259583. The next prime is 561259627. The reversal of 561259600 is 6952165.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 875280 + ... + 875920.

It is an arithmetic number, because the mean of its divisors is an integer number (12339240).

Almost surely, 2^561259600 is an apocalyptic number.

561259600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 561259600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (740354400).

561259600 is an abundant number, since it is smaller than the sum of its proper divisors (919449200).

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

561259600 is a wasteful number, since it uses less digits than its factorization.

561259600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 869 (or 858 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 34.

The square root of 561259600 is about 23690.9180911167. The cubic root of 561259600 is about 824.8745937329.

The spelling of 561259600 in words is "five hundred sixty-one million, two hundred fifty-nine thousand, six hundred".