13949200 has 60 divisors (see below), whose sum is σ = 34334608. Its totient is φ = 5443200.

The previous prime is 13949191. The next prime is 13949207. The reversal of 13949200 is 294931.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (13949207) 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, 16795 + ... + 17605.

Almost surely, 2^13949200 is an apocalyptic number.

13949200 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 13949200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17167304).

13949200 is an abundant number, since it is smaller than the sum of its proper divisors (20385408).

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

13949200 is a wasteful number, since it uses less digits than its factorization.

13949200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 872 (or 861 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 28.

The square root of 13949200 is about 3734.8627819506. The cubic root of 13949200 is about 240.7223606685.

The spelling of 13949200 in words is "thirteen million, nine hundred forty-nine thousand, two hundred".