13682280 has 128 divisors (see below), whose sum is σ = 45878400. Its totient is φ = 3244032.

The previous prime is 13682269. The next prime is 13682281. The reversal of 13682280 is 8228631.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13682281) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 38584 + ... + 38936.

It is an arithmetic number, because the mean of its divisors is an integer number (358425).

Almost surely, 2^13682280 is an apocalyptic number.

13682280 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 13682280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22939200).

13682280 is an abundant number, since it is smaller than the sum of its proper divisors (32196120).

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

13682280 is a wasteful number, since it uses less digits than its factorization.

13682280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 403 (or 399 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 13682280 is about 3698.9566096401. The cubic root of 13682280 is about 239.1770424233.

The spelling of 13682280 in words is "thirteen million, six hundred eighty-two thousand, two hundred eighty".