58680936 has 80 divisors (see below), whose sum is σ = 165811140. Its totient is φ = 19388160.

The previous prime is 58680931. The next prime is 58680943. The reversal of 58680936 is 63908685.

It can be written as a sum of positive squares in 2 ways, for example, as 56340036 + 2340900 = 7506^2 + 1530^2 .

It is a junction number, because it is equal to n+sod(n) for n = 58680891 and 58680900.

It is not an unprimeable number, because it can be changed into a prime (58680931) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 88446 + ... + 89106.

Almost surely, 2^58680936 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 58680936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82905570).

58680936 is an abundant number, since it is smaller than the sum of its proper divisors (107130204).

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

58680936 is a wasteful number, since it uses less digits than its factorization.

58680936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 816 (or 803 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 58680936 is about 7660.3482949537. The cubic root of 58680936 is about 388.5966128738.

The spelling of 58680936 in words is "fifty-eight million, six hundred eighty thousand, nine hundred thirty-six".