13919400 has 288 divisors, whose sum is σ = 55130400. Its totient is φ = 3110400.

The previous prime is 13919387. The next prime is 13919417. The reversal of 13919400 is 491931.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 376182 + ... + 376218.

It is an arithmetic number, because the mean of its divisors is an integer number (191425).

Almost surely, 2^13919400 is an apocalyptic number.

13919400 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 13919400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27565200).

13919400 is an abundant number, since it is smaller than the sum of its proper divisors (41211000).

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

13919400 is a wasteful number, since it uses less digits than its factorization.

13919400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The square root of 13919400 is about 3730.8712119289. The cubic root of 13919400 is about 240.5508181967.

The spelling of 13919400 in words is "thirteen million, nine hundred nineteen thousand, four hundred".