42567560 has 32 divisors (see below), whose sum is σ = 109460160. Its totient is φ = 14594496.

The previous prime is 42567559. The next prime is 42567583. The reversal of 42567560 is 6576524.

It is a Smith number, since the sum of its digits (35) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 42567560.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 75734 + ... + 76293.

It is an arithmetic number, because the mean of its divisors is an integer number (3420630).

Almost surely, 2^42567560 is an apocalyptic number.

42567560 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42567560 is an abundant number, since it is smaller than the sum of its proper divisors (66892600).

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

42567560 is a wasteful number, since it uses less digits than its factorization.

42567560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152045 (or 152041 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 35.

The square root of 42567560 is about 6524.3819630675. The cubic root of 42567560 is about 349.1614209910.

The spelling of 42567560 in words is "forty-two million, five hundred sixty-seven thousand, five hundred sixty".