567984960 has 280 divisors, whose sum is σ = 2140930440. Its totient is φ = 142442496.

The previous prime is 567984959. The next prime is 567984961. The reversal of 567984960 is 69489765.

567984960 is a `hidden beast` number, since 5 + 67 + 98 + 496 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (567984959) and next prime (567984961).

It can be written as a sum of positive squares in 4 ways, for example, as 201185856 + 366799104 = 14184^2 + 19152^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 567984897 and 567984906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (567984961) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 439996 + ... + 441284.

Almost surely, 2^567984960 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 567984960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1070465220).

567984960 is an abundant number, since it is smaller than the sum of its proper divisors (1572945480).

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

567984960 is a wasteful number, since it uses less digits than its factorization.

567984960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1335 (or 1316 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The square root of 567984960 is about 23832.4350413465. The cubic root of 567984960 is about 828.1562402075.

The spelling of 567984960 in words is "five hundred sixty-seven million, nine hundred eighty-four thousand, nine hundred sixty".