13298080 has 48 divisors (see below), whose sum is σ = 33271560. Its totient is φ = 5005312.

The previous prime is 13298053. The next prime is 13298083. The reversal of 13298080 is 8089231.

It can be written as a sum of positive squares in 4 ways, for example, as 12702096 + 595984 = 3564^2 + 772^2 .

It is not an unprimeable number, because it can be changed into a prime (13298083) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 276 + ... + 5164.

Almost surely, 2^13298080 is an apocalyptic number.

13298080 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 13298080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16635780).

13298080 is an abundant number, since it is smaller than the sum of its proper divisors (19973480).

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

13298080 is a wasteful number, since it uses less digits than its factorization.

13298080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4921 (or 4913 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 31.

The square root of 13298080 is about 3646.6532601825. The cubic root of 13298080 is about 236.9170485987.

It can be divided in two parts, 1329 and 8080, that added together give a square (9409 = 97²).

The spelling of 13298080 in words is "thirteen million, two hundred ninety-eight thousand, eighty".