13580920 has 32 divisors (see below), whose sum is σ = 30982320. Its totient is φ = 5356800.

The previous prime is 13580899. The next prime is 13580921. The reversal of 13580920 is 2908531.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13580921) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 595 + ... + 5245.

Almost surely, 2^13580920 is an apocalyptic number.

13580920 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 13580920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15491160).

13580920 is an abundant number, since it is smaller than the sum of its proper divisors (17401400).

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

13580920 is a wasteful number, since it uses less digits than its factorization.

13580920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4735 (or 4731 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 28.

The square root of 13580920 is about 3685.2299792550. The cubic root of 13580920 is about 238.5849603624.

The spelling of 13580920 in words is "thirteen million, five hundred eighty thousand, nine hundred twenty".