13952904 has 96 divisors (see below), whose sum is σ = 41939520. Its totient is φ = 3788928.

The previous prime is 13952893. The next prime is 13952909. The reversal of 13952904 is 40925931.

13952904 = T₁₂₇ + T₁₂₈ + ... + T₄₄₀.

13952904 is digitally balanced in base 2 and base 4, because in such bases 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 (13952909) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 88794 + ... + 88950.

It is an arithmetic number, because the mean of its divisors is an integer number (436870).

Almost surely, 2^13952904 is an apocalyptic number.

13952904 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 13952904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20969760).

13952904 is an abundant number, since it is smaller than the sum of its proper divisors (27986616).

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

13952904 is a wasteful number, since it uses less digits than its factorization.

13952904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 33.

The square root of 13952904 is about 3735.3586173218. The cubic root of 13952904 is about 240.7436655155.

The spelling of 13952904 in words is "thirteen million, nine hundred fifty-two thousand, nine hundred four".