59024 has 40 divisors (see below), whose sum is σ = 142848. Its totient is φ = 23040.

The previous prime is 59023. The next prime is 59029. The reversal of 59024 is 42095.

It is a nialpdrome in base 9.

It is a junction number, because it is equal to n+sod(n) for n = 58987 and 59005.

It is not an unprimeable number, because it can be changed into a prime (59021) 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, 1889 + ... + 1919.

2⁵⁹⁰²⁴ 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 59024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71424).

59024 is an abundant number, since it is smaller than the sum of its proper divisors (83824).

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

59024 is a wasteful number, since it uses less digits than its factorization.

59024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

The square root of 59024 is about 242.9485542250. The cubic root of 59024 is about 38.9352420824.

The spelling of 59024 in words is "fifty-nine thousand, twenty-four".