561386800 has 120 divisors (see below), whose sum is σ = 1484030016. Its totient is φ = 202782720.

The previous prime is 561386797. The next prime is 561386803. The reversal of 561386800 is 8683165.

It is an interprime number because it is at equal distance from previous prime (561386797) and next prime (561386803).

It is a self number, because there is not a number n which added to its sum of digits gives 561386800.

It is not an unprimeable number, because it can be changed into a prime (561386803) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 243252 + ... + 245548.

Almost surely, 2^561386800 is an apocalyptic number.

561386800 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 561386800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (742015008).

561386800 is an abundant number, since it is smaller than the sum of its proper divisors (922643216).

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

561386800 is a wasteful number, since it uses less digits than its factorization.

561386800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2375 (or 2364 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 37.

The square root of 561386800 is about 23693.6025120706. The cubic root of 561386800 is about 824.9369036532.

The spelling of 561386800 in words is "five hundred sixty-one million, three hundred eighty-six thousand, eight hundred".