42120564 has 24 divisors (see below), whose sum is σ = 100568160. Its totient is φ = 13713504.

The previous prime is 42120563. The next prime is 42120569. The reversal of 42120564 is 46502124.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42120563) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 40299 + ... + 41330.

It is an arithmetic number, because the mean of its divisors is an integer number (4190340).

Almost surely, 2^42120564 is an apocalyptic number.

It is an amenable number.

42120564 is an abundant number, since it is smaller than the sum of its proper divisors (58447596).

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

42120564 is a wasteful number, since it uses less digits than its factorization.

42120564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81679 (or 81677 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 42120564 is about 6490.0357472051. The cubic root of 42120564 is about 347.9349528311.

Adding to 42120564 its reverse (46502124), we get a palindrome (88622688).

The spelling of 42120564 in words is "forty-two million, one hundred twenty thousand, five hundred sixty-four".