36624 has 40 divisors (see below), whose sum is σ = 109120. Its totient is φ = 10368.

The previous prime is 36607. The next prime is 36629. The reversal of 36624 is 42663.

It is a Harshad number since it is a multiple of its sum of digits (21).

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

It is a self number, because there is not a number n which added to its sum of digits gives 36624.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 36624.

It is not an unprimeable number, because it can be changed into a prime (36629) by changing a digit.

36624 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 282 + ... + 390.

It is an arithmetic number, because the mean of its divisors is an integer number (2728).

2³⁶⁶²⁴ 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 36624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54560).

36624 is an abundant number, since it is smaller than the sum of its proper divisors (72496).

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

36624 is a wasteful number, since it uses less digits than its factorization.

36624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 121 counting only the distinct ones).

The product of its digits is 864, while the sum is 21.

The square root of 36624 is about 191.3739794225. The cubic root of 36624 is about 33.2089587281.

The spelling of 36624 in words is "thirty-six thousand, six hundred twenty-four".