13956096 has 176 divisors, whose sum is σ = 47162880. Its totient is φ = 3563520.

The previous prime is 13956077. The next prime is 13956097. The reversal of 13956096 is 69065931.

It is a tau number, because it is divible by the number of its divisors (176).

It is a super-2 number, since 2×13956096² = 389545231122432, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13956097) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 236515 + ... + 236573.

Almost surely, 2^13956096 is an apocalyptic number.

13956096 is a gapful number since it is divisible by the number (16) 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 13956096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23581440).

13956096 is an abundant number, since it is smaller than the sum of its proper divisors (33206784).

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

13956096 is a wasteful number, since it uses less digits than its factorization.

13956096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 43740, while the sum is 39.

The square root of 13956096 is about 3735.7858611007. The cubic root of 13956096 is about 240.7620223916.

It can be divided in two parts, 139560 and 96, that added together give a triangular number (139656 = T₅₂₈).

The spelling of 13956096 in words is "thirteen million, nine hundred fifty-six thousand, ninety-six".