58100980 has 48 divisors (see below), whose sum is σ = 141039360. Its totient is φ = 19692288.

The previous prime is 58100971. The next prime is 58100981. The reversal of 58100980 is 8900185.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58100981) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10129 + ... + 14791.

It is an arithmetic number, because the mean of its divisors is an integer number (2938320).

Almost surely, 2^58100980 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 58100980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70519680).

58100980 is an abundant number, since it is smaller than the sum of its proper divisors (82938380).

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

58100980 is a wasteful number, since it uses less digits than its factorization.

58100980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4768 (or 4766 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 31.

The square root of 58100980 is about 7622.3998845508. The cubic root of 58100980 is about 387.3121781412.

The spelling of 58100980 in words is "fifty-eight million, one hundred thousand, nine hundred eighty".