13775904 has 72 divisors (see below), whose sum is σ = 40465152. Its totient is φ = 4440960.

The previous prime is 13775897. The next prime is 13775921. The reversal of 13775904 is 40957731.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8157 + ... + 9699.

It is an arithmetic number, because the mean of its divisors is an integer number (562016).

Almost surely, 2^13775904 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13775904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20232576).

13775904 is an abundant number, since it is smaller than the sum of its proper divisors (26689248).

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

13775904 is a wasteful number, since it uses less digits than its factorization.

13775904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1590 (or 1579 counting only the distinct ones).

The product of its (nonzero) digits is 26460, while the sum is 36.

The square root of 13775904 is about 3711.5904946532. The cubic root of 13775904 is about 239.7213432520.

The spelling of 13775904 in words is "thirteen million, seven hundred seventy-five thousand, nine hundred four".