13479200 has 144 divisors (see below), whose sum is σ = 39372480. Its totient is φ = 4408320.

The previous prime is 13479187. The next prime is 13479233. The reversal of 13479200 is 297431.

It is a self number, because there is not a number n which added to its sum of digits gives 13479200.

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, 162359 + ... + 162441.

It is an arithmetic number, because the mean of its divisors is an integer number (273420).

Almost surely, 2^13479200 is an apocalyptic number.

13479200 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 13479200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19686240).

13479200 is an abundant number, since it is smaller than the sum of its proper divisors (25893280).

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

13479200 is a wasteful number, since it uses less digits than its factorization.

13479200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 26.

The square root of 13479200 is about 3671.4030015786. The cubic root of 13479200 is about 237.9878062627.

The spelling of 13479200 in words is "thirteen million, four hundred seventy-nine thousand, two hundred".