13270680 has 96 divisors (see below), whose sum is σ = 43580160. Its totient is φ = 3502080.

The previous prime is 13270669. The next prime is 13270687. The reversal of 13270680 is 8607231.

It is a super-2 number, since 2×13270680² = 352221895324800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13270687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 68664 + ... + 68856.

It is an arithmetic number, because the mean of its divisors is an integer number (453960).

Almost surely, 2^13270680 is an apocalyptic number.

13270680 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 13270680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21790080).

13270680 is an abundant number, since it is smaller than the sum of its proper divisors (30309480).

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

13270680 is a wasteful number, since it uses less digits than its factorization.

13270680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 401 (or 394 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 13270680 is about 3642.8944535904. The cubic root of 13270680 is about 236.7542183073.

The spelling of 13270680 in words is "thirteen million, two hundred seventy thousand, six hundred eighty".