13953408 has 128 divisors (see below), whose sum is σ = 44064000. Its totient is φ = 3827712.

The previous prime is 13953383. The next prime is 13953427. The reversal of 13953408 is 80435931.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

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, 77863 + ... + 78041.

It is an arithmetic number, because the mean of its divisors is an integer number (344250).

Almost surely, 2^13953408 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 13953408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22032000).

13953408 is an abundant number, since it is smaller than the sum of its proper divisors (30110592).

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

13953408 is a wasteful number, since it uses less digits than its factorization.

13953408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 13953408 is about 3735.4260801146. The cubic root of 13953408 is about 240.7465641557.

The spelling of 13953408 in words is "thirteen million, nine hundred fifty-three thousand, four hundred eight".