58960 has 40 divisors (see below), whose sum is σ = 151776. Its totient is φ = 21120.

The previous prime is 58943. The next prime is 58963. The reversal of 58960 is 6985.

58960 = T₁₆ + T₁₇ + ... + T₇₀.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Smith number, since the sum of its digits (28) coincides with the sum of the digits of its prime factors.

It is a nialpdrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58963) 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, 847 + ... + 913.

2⁵⁸⁹⁶⁰ 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 58960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75888).

58960 is an abundant number, since it is smaller than the sum of its proper divisors (92816).

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

58960 is a wasteful number, since it uses less digits than its factorization.

58960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 28.

The square root of 58960 is about 242.8168033724. The cubic root of 58960 is about 38.9211644378.

The spelling of 58960 in words is "fifty-eight thousand, nine hundred sixty".