42312624 has 80 divisors (see below), whose sum is σ = 114501600. Its totient is φ = 13447168.

The previous prime is 42312553. The next prime is 42312629. The reversal of 42312624 is 42621324.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 = 42312594 and 42312603.

It is not an unprimeable number, because it can be changed into a prime (42312629) 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, 157162 + ... + 157430.

It is an arithmetic number, because the mean of its divisors is an integer number (1431270).

Almost surely, 2^42312624 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 42312624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57250800).

42312624 is an abundant number, since it is smaller than the sum of its proper divisors (72188976).

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

42312624 is a wasteful number, since it uses less digits than its factorization.

42312624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 422 (or 416 counting only the distinct ones).

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

The square root of 42312624 is about 6504.8154470361. The cubic root of 42312624 is about 348.4629852957.

Adding to 42312624 its reverse (42621324), we get a palindrome (84933948).

The spelling of 42312624 in words is "forty-two million, three hundred twelve thousand, six hundred twenty-four".