13976400 has 120 divisors (see below), whose sum is σ = 47204320. Its totient is φ = 3525120.

The previous prime is 13976399. The next prime is 13976411. The reversal of 13976400 is 467931.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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, 22494 + ... + 23106.

Almost surely, 2^13976400 is an apocalyptic number.

13976400 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 13976400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23602160).

13976400 is an abundant number, since it is smaller than the sum of its proper divisors (33227920).

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

13976400 is a wasteful number, since it uses less digits than its factorization.

13976400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 653 (or 642 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 30.

The square root of 13976400 is about 3738.5023739460. The cubic root of 13976400 is about 240.8787232076.

The spelling of 13976400 in words is "thirteen million, nine hundred seventy-six thousand, four hundred".