567788160 has 128 divisors (see below), whose sum is σ = 1835069760. Its totient is φ = 149299200.

The previous prime is 567788159. The next prime is 567788161. The reversal of 567788160 is 61887765.

It is an interprime number because it is at equal distance from previous prime (567788159) and next prime (567788161).

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

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

It is not an unprimeable number, because it can be changed into a prime (567788161) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 138135 + ... + 142185.

Almost surely, 2^567788160 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 567788160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (917534880).

567788160 is an abundant number, since it is smaller than the sum of its proper divisors (1267281600).

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

567788160 is a wasteful number, since it uses less digits than its factorization.

567788160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4146 (or 4134 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 48.

The square root of 567788160 is about 23828.3058566907. The cubic root of 567788160 is about 828.0605804120.

The spelling of 567788160 in words is "five hundred sixty-seven million, seven hundred eighty-eight thousand, one hundred sixty".