13667280 has 160 divisors (see below), whose sum is σ = 47996928. Its totient is φ = 3187200.

The previous prime is 13667261. The next prime is 13667293. The reversal of 13667280 is 8276631.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 81757 + ... + 81923.

Almost surely, 2^13667280 is an apocalyptic number.

13667280 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 13667280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23998464).

13667280 is an abundant number, since it is smaller than the sum of its proper divisors (34329648).

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

13667280 is a wasteful number, since it uses less digits than its factorization.

13667280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 13667280 is about 3696.9284548122. The cubic root of 13667280 is about 239.0896065210.

It can be divided in two parts, 1366 and 7280, that added together give a triangular number (8646 = T₁₃₁).

The spelling of 13667280 in words is "thirteen million, six hundred sixty-seven thousand, two hundred eighty".