13921200 has 120 divisors (see below), whose sum is σ = 49587600. Its totient is φ = 3709440.

The previous prime is 13921163. The next prime is 13921211. The reversal of 13921200 is 212931.

It is a happy number.

13921200 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 10156 + ... + 11444.

It is an arithmetic number, because the mean of its divisors is an integer number (413230).

Almost surely, 2^13921200 is an apocalyptic number.

13921200 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 13921200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24793800).

13921200 is an abundant number, since it is smaller than the sum of its proper divisors (35666400).

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

13921200 is a wasteful number, since it uses less digits than its factorization.

13921200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1316 (or 1299 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 13921200 is about 3731.1124346500. The cubic root of 13921200 is about 240.5611867665.

The spelling of 13921200 in words is "thirteen million, nine hundred twenty-one thousand, two hundred".