561682800 has 360 divisors, whose sum is σ = 2302709760. Its totient is φ = 124070400.

The previous prime is 561682799. The next prime is 561682819. The reversal of 561682800 is 8286165.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 780841 + ... + 781559.

It is an arithmetic number, because the mean of its divisors is an integer number (6396416).

Almost surely, 2^561682800 is an apocalyptic number.

561682800 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 561682800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1151354880).

561682800 is an abundant number, since it is smaller than the sum of its proper divisors (1741026960).

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

561682800 is a wasteful number, since it uses less digits than its factorization.

561682800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 781 (or 767 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 561682800 is about 23699.8481007790. The cubic root of 561682800 is about 825.0818651544.

The spelling of 561682800 in words is "five hundred sixty-one million, six hundred eighty-two thousand, eight hundred".