58896 has 30 divisors (see below), whose sum is σ = 165230. Its totient is φ = 19584.

The previous prime is 58889. The next prime is 58897. The reversal of 58896 is 69885.

It can be written as a sum of positive squares in only one way, i.e., 57600 + 1296 = 240^2 + 36^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nialpdrome in base 9 and base 16.

It is a self number, because there is not a number n which added to its sum of digits gives 58896.

It is not an unprimeable number, because it can be changed into a prime (58897) by changing a digit.

58896 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 5 ways as a sum of consecutive naturals, for example, 61 + ... + 348.

2⁵⁸⁸⁹⁶ is an apocalyptic number.

It is an amenable number.

58896 is an abundant number, since it is smaller than the sum of its proper divisors (106334).

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

58896 is a wasteful number, since it uses less digits than its factorization.

58896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 423 (or 414 counting only the distinct ones).

The product of its digits is 17280, while the sum is 36.

The square root of 58896 is about 242.6849809939. The cubic root of 58896 is about 38.9070766022.

Adding to 58896 its product of digits (17280), we get a square (76176 = 276²).

Subtracting from 58896 its product of digits (17280), we obtain a triangular number (41616 = T₂₈₈).

The spelling of 58896 in words is "fifty-eight thousand, eight hundred ninety-six".