13904352 has 288 divisors, whose sum is σ = 53625600. Its totient is φ = 3421440.

The previous prime is 13904347. The next prime is 13904377. The reversal of 13904352 is 25340931.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 731799 + ... + 731817.

It is an arithmetic number, because the mean of its divisors is an integer number (186200).

Almost surely, 2^13904352 is an apocalyptic number.

13904352 is a gapful number since it is divisible by the number (12) 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 13904352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26812800).

13904352 is an abundant number, since it is smaller than the sum of its proper divisors (39721248).

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

13904352 is a wasteful number, since it uses less digits than its factorization.

13904352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 13904352 is about 3728.8539794419. The cubic root of 13904352 is about 240.4641019606.

The spelling of 13904352 in words is "thirteen million, nine hundred four thousand, three hundred fifty-two".