561924000 has 576 divisors, whose sum is σ = 2300538240. Its totient is φ = 133056000.

The previous prime is 561923987. The next prime is 561924023. The reversal of 561924000 is 429165.

561924000 is a `hidden beast` number, since 5 + 619 + 2 + 40 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13067979 + ... + 13068021.

It is an arithmetic number, because the mean of its divisors is an integer number (3993990).

Almost surely, 2^561924000 is an apocalyptic number.

561924000 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 561924000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1150269120).

561924000 is an abundant number, since it is smaller than the sum of its proper divisors (1738614240).

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

561924000 is a wasteful number, since it uses less digits than its factorization.

561924000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 561924000 is about 23704.9361948097. The cubic root of 561924000 is about 825.1999515347.

The spelling of 561924000 in words is "five hundred sixty-one million, nine hundred twenty-four thousand".