13371904 has 120 divisors (see below), whose sum is σ = 34286868. Its totient is φ = 5160960.

The previous prime is 13371893. The next prime is 13371907. The reversal of 13371904 is 40917331.

It can be written as a sum of positive squares in 2 ways, for example, as 10549504 + 2822400 = 3248^2 + 1680^2 .

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (13371907) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 326124 + ... + 326164.

Almost surely, 2^13371904 is an apocalyptic number.

13371904 is a gapful number since it is divisible by the number (14) 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 13371904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17143434).

13371904 is an abundant number, since it is smaller than the sum of its proper divisors (20914964).

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

13371904 is an equidigital number, since it uses as much as digits as its factorization.

13371904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 28.

The square root of 13371904 is about 3656.7614086784. The cubic root of 13371904 is about 237.3546530806.

The spelling of 13371904 in words is "thirteen million, three hundred seventy-one thousand, nine hundred four".