13969200 has 120 divisors (see below), whose sum is σ = 51171328. Its totient is φ = 3191040.

The previous prime is 13969177. The next prime is 13969217. The reversal of 13969200 is 296931.

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 (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7569 + ... + 9231.

Almost surely, 2^13969200 is an apocalyptic number.

13969200 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 13969200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25585664).

13969200 is an abundant number, since it is smaller than the sum of its proper divisors (37202128).

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

13969200 is a wasteful number, since it uses less digits than its factorization.

13969200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1691 (or 1680 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 30.

The square root of 13969200 is about 3737.5392974523. The cubic root of 13969200 is about 240.8373528807.

The spelling of 13969200 in words is "thirteen million, nine hundred sixty-nine thousand, two hundred".