13275080 has 96 divisors (see below), whose sum is σ = 37490040. Its totient is φ = 4193280.

The previous prime is 13275077. The next prime is 13275107. The reversal of 13275080 is 8057231.

13275080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 6853924 + 6421156 = 2618^2 + 2534^2 .

It is a hoax number, since the sum of its digits (26) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25220 + ... + 25740.

Almost surely, 2^13275080 is an apocalyptic number.

13275080 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 13275080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18745020).

13275080 is an abundant number, since it is smaller than the sum of its proper divisors (24214960).

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

13275080 is a wasteful number, since it uses less digits than its factorization.

13275080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 559 (or 548 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 26.

The square root of 13275080 is about 3643.4983189237. The cubic root of 13275080 is about 236.7803813336.

The spelling of 13275080 in words is "thirteen million, two hundred seventy-five thousand, eighty".