58416 has 20 divisors (see below), whose sum is σ = 151032. Its totient is φ = 19456.

The previous prime is 58411. The next prime is 58417. The reversal of 58416 is 61485.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nialpdrome in base 7 and base 16.

It is a zygodrome in base 7.

It is not an unprimeable number, because it can be changed into a prime (58411) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 561 + ... + 656.

2⁵⁸⁴¹⁶ is an apocalyptic number.

It is an amenable number.

58416 is an abundant number, since it is smaller than the sum of its proper divisors (92616).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75516).

58416 is a wasteful number, since it uses less digits than its factorization.

58416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1228 (or 1222 counting only the distinct ones).

The product of its digits is 960, while the sum is 24.

The square root of 58416 is about 241.6940214403. The cubic root of 58416 is about 38.8010911232.

It can be divided in two parts, 58 and 416, that added together give a palindrome (474).

The spelling of 58416 in words is "fifty-eight thousand, four hundred sixteen".