13349280 has 192 divisors, whose sum is σ = 50077440. Its totient is φ = 2924544.

The previous prime is 13349263. The next prime is 13349327. The reversal of 13349280 is 8294331.

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 31 ways as a sum of consecutive naturals, for example, 97372 + ... + 97508.

It is an arithmetic number, because the mean of its divisors is an integer number (260820).

Almost surely, 2^13349280 is an apocalyptic number.

13349280 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 13349280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25038720).

13349280 is an abundant number, since it is smaller than the sum of its proper divisors (36728160).

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

13349280 is a wasteful number, since it uses less digits than its factorization.

13349280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 13349280 is about 3653.6666514612. Note that the first 4 decimals coincide. The cubic root of 13349280 is about 237.2207169565.

The spelling of 13349280 in words is "thirteen million, three hundred forty-nine thousand, two hundred eighty".