58740 has 48 divisors (see below), whose sum is σ = 181440. Its totient is φ = 14080.

The previous prime is 58733. The next prime is 58741. The reversal of 58740 is 4785.

It is a self number, because there is not a number n which added to its sum of digits gives 58740.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58741) by changing a digit.

58740 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 616 + ... + 704.

It is an arithmetic number, because the mean of its divisors is an integer number (3780).

2⁵⁸⁷⁴⁰ 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 58740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90720).

58740 is an abundant number, since it is smaller than the sum of its proper divisors (122700).

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

58740 is a wasteful number, since it uses less digits than its factorization.

58740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 24.

The square root of 58740 is about 242.3633635680. The cubic root of 58740 is about 38.8726946934.

The spelling of 58740 in words is "fifty-eight thousand, seven hundred forty".