42624132 has 48 divisors (see below), whose sum is σ = 103488000. Its totient is φ = 13639680.

The previous prime is 42624119. The next prime is 42624143. The reversal of 42624132 is 23142624.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 55044 + ... + 55812.

It is an arithmetic number, because the mean of its divisors is an integer number (2156000).

Almost surely, 2^42624132 is an apocalyptic number.

It is an amenable number.

42624132 is an abundant number, since it is smaller than the sum of its proper divisors (60863868).

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

42624132 is a wasteful number, since it uses less digits than its factorization.

42624132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 956 (or 954 counting only the distinct ones).

The product of its digits is 2304, while the sum is 24.

The square root of 42624132 is about 6528.7159533862. The cubic root of 42624132 is about 349.3160302438.

Adding to 42624132 its reverse (23142624), we get a palindrome (65766756).

The spelling of 42624132 in words is "forty-two million, six hundred twenty-four thousand, one hundred thirty-two".