13249280 has 72 divisors (see below), whose sum is σ = 34658064. Its totient is φ = 4812800.

The previous prime is 13249267. The next prime is 13249283. The reversal of 13249280 is 8294231.

It is not an unprimeable number, because it can be changed into a prime (13249283) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13610 + ... + 14550.

It is an arithmetic number, because the mean of its divisors is an integer number (481362).

Almost surely, 2^13249280 is an apocalyptic number.

13249280 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 13249280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17329032).

13249280 is an abundant number, since it is smaller than the sum of its proper divisors (21408784).

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

13249280 is an equidigital number, since it uses as much as digits as its factorization.

13249280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 973 (or 959 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 29.

The square root of 13249280 is about 3639.9560436906. The cubic root of 13249280 is about 236.6268883310.

The spelling of 13249280 in words is "thirteen million, two hundred forty-nine thousand, two hundred eighty".