79624 has 16 divisors (see below), whose sum is σ = 153900. Its totient is φ = 38592.

The previous prime is 79621. The next prime is 79627. The reversal of 79624 is 42697.

It is an interprime number because it is at equal distance from previous prime (79621) and next prime (79627).

It can be written as a sum of positive squares in 2 ways, for example, as 79524 + 100 = 282^2 + 10^2 .

It is a junction number, because it is equal to n+sod(n) for n = 79592 and 79601.

It is not an unprimeable number, because it can be changed into a prime (79621) 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 3 ways as a sum of consecutive naturals, for example, 162 + ... + 430.

2⁷⁹⁶²⁴ is an apocalyptic number.

79624 is a gapful number since it is divisible by the number (74) formed by its first and last digit.

It is an amenable number.

79624 is a deficient number, since it is larger than the sum of its proper divisors (74276).

79624 is a wasteful number, since it uses less digits than its factorization.

79624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312 (or 308 counting only the distinct ones).

The product of its digits is 3024, while the sum is 28.

The square root of 79624 is about 282.1772492601. The cubic root of 79624 is about 43.0210821445.

It can be divided in two parts, 796 and 24, that added together give a triangular number (820 = T₄₀).

The spelling of 79624 in words is "seventy-nine thousand, six hundred twenty-four".