565584000 has 128 divisors (see below), whose sum is σ = 1875070080. Its totient is φ = 150809600.

The previous prime is 565583983. The next prime is 565584029. The reversal of 565584000 is 485565.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×565584000² = 639770522112000000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42109 + ... + 53891.

It is an arithmetic number, because the mean of its divisors is an integer number (14648985).

Almost surely, 2^565584000 is an apocalyptic number.

565584000 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 565584000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (937535040).

565584000 is an abundant number, since it is smaller than the sum of its proper divisors (1309486080).

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

565584000 is a wasteful number, since it uses less digits than its factorization.

565584000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11815 (or 11793 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 33.

The square root of 565584000 is about 23782.0100075666. The cubic root of 565584000 is about 826.9876773872.

The spelling of 565584000 in words is "five hundred sixty-five million, five hundred eighty-four thousand".