42633624 has 96 divisors (see below), whose sum is σ = 119795760. Its totient is φ = 12629760.

The previous prime is 42633607. The next prime is 42633629.

It is a happy number.

42633624 is nontrivially palindromic in base 10.

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 = 42633591 and 42633600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42633629) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 153774 + ... + 154050.

Almost surely, 2^42633624 is an apocalyptic number.

42633624 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42633624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59897880).

42633624 is an abundant number, since it is smaller than the sum of its proper divisors (77162136).

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

42633624 is a wasteful number, since it uses less digits than its factorization.

42633624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 361 (or 346 counting only the distinct ones).

The product of its digits is 20736, while the sum is 30.

The square root of 42633624 is about 6529.4428552519. The cubic root of 42633624 is about 349.3419581358.

It can be divided in two parts, 4263 and 3624, that added together give a palindrome (7887).

The spelling of 42633624 in words is "forty-two million, six hundred thirty-three thousand, six hundred twenty-four".