42396624 has 120 divisors (see below), whose sum is σ = 125116992. Its totient is φ = 13386240.

The previous prime is 42396611. The next prime is 42396631. The reversal of 42396624 is 42669324.

42396624 is a `hidden beast` number, since 4 + 23 + 9 + 6 + 624 = 666.

42396624 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

Its product of digits (62208) is a multiple of the sum of its prime divisors (256).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 253789 + ... + 253955.

Almost surely, 2^42396624 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 42396624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62558496).

42396624 is an abundant number, since it is smaller than the sum of its proper divisors (82720368).

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

42396624 is a wasteful number, since it uses less digits than its factorization.

42396624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265 (or 256 counting only the distinct ones).

The product of its digits is 62208, while the sum is 36.

The square root of 42396624 is about 6511.2690007402. The cubic root of 42396624 is about 348.6934251312.

The spelling of 42396624 in words is "forty-two million, three hundred ninety-six thousand, six hundred twenty-four".