13921400 has 48 divisors (see below), whose sum is σ = 33078240. Its totient is φ = 5446400.

The previous prime is 13921373. The next prime is 13921403. The reversal of 13921400 is 412931.

13921400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13921403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8660 + ... + 10140.

It is an arithmetic number, because the mean of its divisors is an integer number (689130).

Almost surely, 2^13921400 is an apocalyptic number.

13921400 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 13921400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16539120).

13921400 is an abundant number, since it is smaller than the sum of its proper divisors (19156840).

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

13921400 is a wasteful number, since it uses less digits than its factorization.

13921400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1544 (or 1535 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

The square root of 13921400 is about 3731.1392362119. The cubic root of 13921400 is about 240.5623387746.

The spelling of 13921400 in words is "thirteen million, nine hundred twenty-one thousand, four hundred".