13996800 has 216 divisors, whose sum is σ = 51958480. Its totient is φ = 3732480.

The previous prime is 13996793. The next prime is 13996817. The reversal of 13996800 is 869931.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a tau number, because it is divible by the number of its divisors (216).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2799358 + ... + 2799362.

Almost surely, 2^13996800 is an apocalyptic number.

13996800 is a gapful number since it is divisible by the number (10) 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 13996800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25979240).

13996800 is an abundant number, since it is smaller than the sum of its proper divisors (37961680).

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

13996800 is an frugal number, since it uses more digits than its factorization.

13996800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 13996800 is about 3741.2297443488. The cubic root of 13996800 is about 240.9958620296.

The spelling of 13996800 in words is "thirteen million, nine hundred ninety-six thousand, eight hundred".