58806480 has 80 divisors (see below), whose sum is σ = 185434560. Its totient is φ = 15412224.

The previous prime is 58806439. The next prime is 58806487. The reversal of 58806480 is 8460885.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58806487) 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, 12084 + ... + 16236.

It is an arithmetic number, because the mean of its divisors is an integer number (2317932).

Almost surely, 2^58806480 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 58806480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92717280).

58806480 is an abundant number, since it is smaller than the sum of its proper divisors (126628080).

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

58806480 is a wasteful number, since it uses less digits than its factorization.

58806480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4228 (or 4222 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 39.

The square root of 58806480 is about 7668.5383222619. The cubic root of 58806480 is about 388.8735411025.

Subtracting from 58806480 its reverse (8460885), we obtain a triangular number (50345595 = T₁₀₀₃₄).

The spelling of 58806480 in words is "fifty-eight million, eight hundred six thousand, four hundred eighty".