58080906 has 72 divisors (see below), whose sum is σ = 138943116. Its totient is φ = 17521920.

The previous prime is 58080889. The next prime is 58080931. The reversal of 58080906 is 60908085.

It can be written as a sum of positive squares in 6 ways, for example, as 3837681 + 54243225 = 1959^2 + 7365^2 .

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 185406 + ... + 185718.

Almost surely, 2^58080906 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 58080906, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69471558).

58080906 is an abundant number, since it is smaller than the sum of its proper divisors (80862210).

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

58080906 is a wasteful number, since it uses less digits than its factorization.

58080906 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 408 (or 392 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 58080906 is about 7621.0829939058. The cubic root of 58080906 is about 387.2675673030.

The spelling of 58080906 in words is "fifty-eight million, eighty thousand, nine hundred six".