567142560 has 288 divisors, whose sum is σ = 2080391040. Its totient is φ = 145732608.

The previous prime is 567142553. The next prime is 567142591. The reversal of 567142560 is 65241765.

It is a happy number.

567142560 is a `hidden beast` number, since 56 + 7 + 1 + 42 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1127269 + ... + 1127771.

It is an arithmetic number, because the mean of its divisors is an integer number (7223580).

Almost surely, 2^567142560 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 567142560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1040195520).

567142560 is an abundant number, since it is smaller than the sum of its proper divisors (1513248480).

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

567142560 is a wasteful number, since it uses less digits than its factorization.

567142560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 562 (or 542 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 567142560 is about 23814.7550900697. The cubic root of 567142560 is about 827.7466143379.

The spelling of 567142560 in words is "five hundred sixty-seven million, one hundred forty-two thousand, five hundred sixty".