59424 has 24 divisors (see below), whose sum is σ = 156240. Its totient is φ = 19776.

The previous prime is 59419. The next prime is 59441. The reversal of 59424 is 42495.

It is a tau number, because it is divible by the number of its divisors (24).

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

It is a nialpdrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 59394 and 59403.

It is an unprimeable number.

59424 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 214 + ... + 405.

It is an arithmetic number, because the mean of its divisors is an integer number (6510).

2⁵⁹⁴²⁴ is an apocalyptic number.

It is an amenable number.

59424 is an abundant number, since it is smaller than the sum of its proper divisors (96816).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78120).

59424 is a wasteful number, since it uses less digits than its factorization.

59424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 632 (or 624 counting only the distinct ones).

The product of its digits is 1440, while the sum is 24.

The square root of 59424 is about 243.7703837631. The cubic root of 59424 is about 39.0229976129.

The spelling of 59424 in words is "fifty-nine thousand, four hundred twenty-four".