42120624 has 80 divisors (see below), whose sum is σ = 133935872. Its totient is φ = 11107584.

The previous prime is 42120623. The next prime is 42120647. The reversal of 42120624 is 42602124.

It is a super-2 number, since 2×42120624² = 3548293932298752, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 42120624.

It is not an unprimeable number, because it can be changed into a prime (42120623) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 454 + ... + 9189.

Almost surely, 2^42120624 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 42120624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66967936).

42120624 is an abundant number, since it is smaller than the sum of its proper divisors (91815248).

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

42120624 is a wasteful number, since it uses less digits than its factorization.

42120624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9674 (or 9668 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 42120624 is about 6490.0403696741. The cubic root of 42120624 is about 347.9351180401.

Adding to 42120624 its reverse (42602124), we get a palindrome (84722748).

The spelling of 42120624 in words is "forty-two million, one hundred twenty thousand, six hundred twenty-four".