13813480 has 32 divisors (see below), whose sum is σ = 31299840. Its totient is φ = 5486400.

The previous prime is 13813477. The next prime is 13813487. The reversal of 13813480 is 8431831.

13813480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13813487) 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, 4897 + ... + 7183.

It is an arithmetic number, because the mean of its divisors is an integer number (978120).

Almost surely, 2^13813480 is an apocalyptic number.

13813480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13813480 is an abundant number, since it is smaller than the sum of its proper divisors (17486360).

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

13813480 is a wasteful number, since it uses less digits than its factorization.

13813480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2449 (or 2445 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 28.

The square root of 13813480 is about 3716.6490283587. The cubic root of 13813480 is about 239.9391049208.

The spelling of 13813480 in words is "thirteen million, eight hundred thirteen thousand, four hundred eighty".