58016 has 36 divisors (see below), whose sum is σ = 136458. Its totient is φ = 24192.

The previous prime is 58013. The next prime is 58027. The reversal of 58016 is 61085.

It can be written as a sum of positive squares in only one way, i.e., 38416 + 19600 = 196^2 + 140^2 .

It is a nialpdrome in base 7 and base 9.

It is a zygodrome in base 7.

It is not an unprimeable number, because it can be changed into a prime (58013) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1550 + ... + 1586.

2⁵⁸⁰¹⁶ is an apocalyptic number.

58016 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 58016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68229).

58016 is an abundant number, since it is smaller than the sum of its proper divisors (78442).

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

58016 is a wasteful number, since it uses less digits than its factorization.

58016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 20.

The square root of 58016 is about 240.8651074772. The cubic root of 58016 is about 38.7123255058.

The spelling of 58016 in words is "fifty-eight thousand, sixteen".