58890 has 32 divisors (see below), whose sum is σ = 153216. Its totient is φ = 14400.

The previous prime is 58889. The next prime is 58897. The reversal of 58890 is 9885.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a plaindrome in base 7.

It is not an unprimeable number, because it can be changed into a prime (58897) 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 15 ways as a sum of consecutive naturals, for example, 315 + ... + 465.

It is an arithmetic number, because the mean of its divisors is an integer number (4788).

2⁵⁸⁸⁹⁰ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 58890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76608).

58890 is an abundant number, since it is smaller than the sum of its proper divisors (94326).

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

58890 is a wasteful number, since it uses less digits than its factorization.

58890 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174.

The product of its (nonzero) digits is 2880, while the sum is 30.

The square root of 58890 is about 242.6726189746. The cubic root of 58890 is about 38.9057553444.

The spelling of 58890 in words is "fifty-eight thousand, eight hundred ninety".