39624 has 32 divisors (see below), whose sum is σ = 107520. Its totient is φ = 12096.

The previous prime is 39623. The next prime is 39631. The reversal of 39624 is 42693.

It is a super-2 number, since 2×39624² = 3140122752, which contains 22 as substring.

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

It is an Ulam number.

It is a d-powerful number, because it can be written as 3⁵ + 9⁴ + 6² + 2¹⁵ + 4² .

It is a plaindrome in base 7.

It is a zygodrome in base 7.

It is a junction number, because it is equal to n+sod(n) for n = 39594 and 39603.

It is not an unprimeable number, because it can be changed into a prime (39623) 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, 249 + ... + 375.

It is an arithmetic number, because the mean of its divisors is an integer number (3360).

2³⁹⁶²⁴ 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 39624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53760).

39624 is an abundant number, since it is smaller than the sum of its proper divisors (67896).

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

39624 is a wasteful number, since it uses less digits than its factorization.

39624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 145 counting only the distinct ones).

The product of its digits is 1296, while the sum is 24.

The square root of 39624 is about 199.0577805563. The cubic root of 39624 is about 34.0920229131.

It can be divided in two parts, 39 and 624, that multiplied together give a square (24336 = 156²).

The spelling of 39624 in words is "thirty-nine thousand, six hundred twenty-four".