42642624 has 56 divisors (see below), whose sum is σ = 115598448. Its totient is φ = 13864960.

The previous prime is 42642623. The next prime is 42642629. The reversal of 42642624 is 42624624.

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

It is a junction number, because it is equal to n+sod(n) for n = 42642591 and 42642600.

It is not an unprimeable number, because it can be changed into a prime (42642623) 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, 5164 + ... + 10580.

It is an arithmetic number, because the mean of its divisors is an integer number (2064258).

Almost surely, 2^42642624 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 42642624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57799224).

42642624 is an abundant number, since it is smaller than the sum of its proper divisors (72955824).

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

42642624 is a wasteful number, since it uses less digits than its factorization.

42642624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5473 (or 5463 counting only the distinct ones).

The product of its digits is 18432, while the sum is 30.

The square root of 42642624 is about 6530.1320047913. The cubic root of 42642624 is about 349.3665385500.

The spelling of 42642624 in words is "forty-two million, six hundred forty-two thousand, six hundred twenty-four".