13638280 has 16 divisors (see below), whose sum is σ = 30686220. Its totient is φ = 5455296.

The previous prime is 13638277. The next prime is 13638293. The reversal of 13638280 is 8283631.

It can be written as a sum of positive squares in 2 ways, for example, as 12432676 + 1205604 = 3526^2 + 1098^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 170439 + ... + 170518.

Almost surely, 2^13638280 is an apocalyptic number.

13638280 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13638280 is an abundant number, since it is smaller than the sum of its proper divisors (17047940).

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

13638280 is a wasteful number, since it uses less digits than its factorization.

13638280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 340968 (or 340964 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 31.

The square root of 13638280 is about 3693.0041971273. The cubic root of 13638280 is about 238.9203822030.

Subtracting from 13638280 its sum of digits (31), we obtain a square (13638249 = 3693²).

It can be divided in two parts, 136 and 38280, that added together give a 4-th power (38416 = 14⁴).

The spelling of 13638280 in words is "thirteen million, six hundred thirty-eight thousand, two hundred eighty".