13427904 has 112 divisors (see below), whose sum is σ = 41420288. Its totient is φ = 3760128.

The previous prime is 13427863. The next prime is 13427917. The reversal of 13427904 is 40972431.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

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, 130317 + ... + 130419.

It is an arithmetic number, because the mean of its divisors is an integer number (369824).

Almost surely, 2^13427904 is an apocalyptic number.

13427904 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 13427904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20710144).

13427904 is an abundant number, since it is smaller than the sum of its proper divisors (27992384).

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

13427904 is a wasteful number, since it uses less digits than its factorization.

13427904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 13427904 is about 3664.4104573587. The cubic root of 13427904 is about 237.6855296383.

The spelling of 13427904 in words is "thirteen million, four hundred twenty-seven thousand, nine hundred four".