58944 has 28 divisors (see below), whose sum is σ = 156464. Its totient is φ = 19584.

The previous prime is 58943. The next prime is 58963. The reversal of 58944 is 44985.

It is a nialpdrome in base 9 and base 16.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 58944.

It is not an unprimeable number, because it can be changed into a prime (58943) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 39 + ... + 345.

It is an arithmetic number, because the mean of its divisors is an integer number (5588).

2⁵⁸⁹⁴⁴ 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 58944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78232).

58944 is an abundant number, since it is smaller than the sum of its proper divisors (97520).

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

58944 is a wasteful number, since it uses less digits than its factorization.

58944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 322 (or 312 counting only the distinct ones).

The product of its digits is 5760, while the sum is 30.

The square root of 58944 is about 242.7838544879. The cubic root of 58944 is about 38.9176434350.

The spelling of 58944 in words is "fifty-eight thousand, nine hundred forty-four".