63624 has 32 divisors (see below), whose sum is σ = 174240. Its totient is φ = 19200.

The previous prime is 63617. The next prime is 63629. The reversal of 63624 is 42636.

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

It is a nialpdrome in base 16.

It is a self number, because there is not a number n which added to its sum of digits gives 63624.

It is not an unprimeable number, because it can be changed into a prime (63629) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 144 + ... + 384.

It is an arithmetic number, because the mean of its divisors is an integer number (5445).

2⁶³⁶²⁴ 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 63624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87120).

63624 is an abundant number, since it is smaller than the sum of its proper divisors (110616).

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

63624 is a wasteful number, since it uses less digits than its factorization.

63624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261 (or 257 counting only the distinct ones).

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

The square root of 63624 is about 252.2379828654. The cubic root of 63624 is about 39.9215127612.

The spelling of 63624 in words is "sixty-three thousand, six hundred twenty-four".