58976 has 24 divisors (see below), whose sum is σ = 123480. Its totient is φ = 27648.

The previous prime is 58967. The next prime is 58979. The reversal of 58976 is 67985.

Its product of digits (15120) is a multiple of the sum of its prime factors (126).

It is a nialpdrome in base 16.

It is a zygodrome in base 2 and base 3.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58979) 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, 560 + ... + 656.

It is an arithmetic number, because the mean of its divisors is an integer number (5145).

2⁵⁸⁹⁷⁶ 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 58976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61740).

58976 is an abundant number, since it is smaller than the sum of its proper divisors (64504).

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

58976 is a wasteful number, since it uses less digits than its factorization.

58976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 118 counting only the distinct ones).

The product of its digits is 15120, while the sum is 35.

The square root of 58976 is about 242.8497477866. The cubic root of 58976 is about 38.9246848036.

Subtracting 58976 from its reverse (67985), we obtain a palindrome (9009).

The spelling of 58976 in words is "fifty-eight thousand, nine hundred seventy-six".