13058880 has 112 divisors (see below), whose sum is σ = 42330624. Its totient is φ = 3409920.

The previous prime is 13058879. The next prime is 13058893. The reversal of 13058880 is 8885031.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 58449 + ... + 58671.

It is an arithmetic number, because the mean of its divisors is an integer number (377952).

Almost surely, 2^13058880 is an apocalyptic number.

13058880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13058880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21165312).

13058880 is an abundant number, since it is smaller than the sum of its proper divisors (29271744).

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

13058880 is a wasteful number, since it uses less digits than its factorization.

13058880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 33.

The square root of 13058880 is about 3613.7072377269. The cubic root of 13058880 is about 235.4879254180.

Subtracting from 13058880 its reverse (8885031), we obtain a square (4173849 = 2043²).

The spelling of 13058880 in words is "thirteen million, fifty-eight thousand, eight hundred eighty".