42436624 has 40 divisors (see below), whose sum is σ = 88085880. Its totient is φ = 19734528.

The previous prime is 42436609. The next prime is 42436631. The reversal of 42436624 is 42663424.

It can be written as a sum of positive squares in 4 ways, for example, as 186624 + 42250000 = 432^2 + 6500^2 .

It is a congruent number.

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, 23332 + ... + 25084.

It is an arithmetic number, because the mean of its divisors is an integer number (2202147).

Almost surely, 2^42436624 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 42436624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44042940).

42436624 is an abundant number, since it is smaller than the sum of its proper divisors (45649256).

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

42436624 is a wasteful number, since it uses less digits than its factorization.

42436624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1867 (or 1861 counting only the distinct ones).

The product of its digits is 27648, while the sum is 31.

The square root of 42436624 is about 6514.3398744616. The cubic root of 42436624 is about 348.8030514140.

The spelling of 42436624 in words is "forty-two million, four hundred thirty-six thousand, six hundred twenty-four".