58681216 has 64 divisors (see below), whose sum is σ = 129548160. Its totient is φ = 26252800.

The previous prime is 58681201. The next prime is 58681219. The reversal of 58681216 is 61218685.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×58681216² = 6886970222477312, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58681219) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 99675 + ... + 100261.

It is an arithmetic number, because the mean of its divisors is an integer number (2024190).

Almost surely, 2^58681216 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 58681216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64774080).

58681216 is an abundant number, since it is smaller than the sum of its proper divisors (70866944).

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

58681216 is a wasteful number, since it uses less digits than its factorization.

58681216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 683 (or 671 counting only the distinct ones).

The product of its digits is 23040, while the sum is 37.

The square root of 58681216 is about 7660.3665708633. The cubic root of 58681216 is about 388.5972309444.

The spelling of 58681216 in words is "fifty-eight million, six hundred eighty-one thousand, two hundred sixteen".