567959040 has 480 divisors, whose sum is σ = 2252105856. Its totient is φ = 136028160.

The previous prime is 567959027. The next prime is 567959059. The reversal of 567959040 is 40959765.

It is a happy number.

567959040 is a `hidden beast` number, since 56 + 7 + 9 + 590 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×567959040² = 645154942235443200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6842839 + ... + 6842921.

Almost surely, 2^567959040 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 567959040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1126052928).

567959040 is an abundant number, since it is smaller than the sum of its proper divisors (1684146816).

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

567959040 is an equidigital number, since it uses as much as digits as its factorization.

567959040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 340200, while the sum is 45.

The square root of 567959040 is about 23831.8912384225. The cubic root of 567959040 is about 828.1436423761.

The spelling of 567959040 in words is "five hundred sixty-seven million, nine hundred fifty-nine thousand, forty".