13972896 has 144 divisors (see below), whose sum is σ = 47174400. Its totient is φ = 3838464.

The previous prime is 13972883. The next prime is 13972897. The reversal of 13972896 is 69827931.

It is a tau number, because it is divible by the number of its divisors (144).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13972897) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 58345 + ... + 58583.

It is an arithmetic number, because the mean of its divisors is an integer number (327600).

Almost surely, 2^13972896 is an apocalyptic number.

13972896 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 13972896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23587200).

13972896 is an abundant number, since it is smaller than the sum of its proper divisors (33201504).

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

13972896 is a wasteful number, since it uses less digits than its factorization.

13972896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291 (or 280 counting only the distinct ones).

The product of its digits is 163296, while the sum is 45.

The square root of 13972896 is about 3738.0337077132. The cubic root of 13972896 is about 240.8585914237.

The spelling of 13972896 in words is "thirteen million, nine hundred seventy-two thousand, eight hundred ninety-six".