565567680 has 224 divisors, whose sum is σ = 1915119360. Its totient is φ = 141004800.

The previous prime is 565567663. The next prime is 565567697. The reversal of 565567680 is 86765565.

It is an interprime number because it is at equal distance from previous prime (565567663) and next prime (565567697).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1842087 + ... + 1842393.

It is an arithmetic number, because the mean of its divisors is an integer number (8549640).

Almost surely, 2^565567680 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 565567680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (957559680).

565567680 is an abundant number, since it is smaller than the sum of its proper divisors (1349551680).

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

565567680 is a wasteful number, since it uses less digits than its factorization.

565567680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 447 (or 437 counting only the distinct ones).

The product of its (nonzero) digits is 1512000, while the sum is 48.

The square root of 565567680 is about 23781.6668885930. Note that the first 3 decimals coincide. The cubic root of 565567680 is about 826.9797230316.

The spelling of 565567680 in words is "five hundred sixty-five million, five hundred sixty-seven thousand, six hundred eighty".