13682448 has 60 divisors (see below), whose sum is σ = 41243020. Its totient is φ = 4209408.

The previous prime is 13682441. The next prime is 13682453. The reversal of 13682448 is 84428631.

13682448 is a `hidden beast` number, since 136 + 82 + 448 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3873024 + 9809424 = 1968^2 + 3132^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (13682441) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1783 + ... + 5526.

Almost surely, 2^13682448 is an apocalyptic number.

13682448 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

13682448 is an abundant number, since it is smaller than the sum of its proper divisors (27560572).

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

13682448 is a wasteful number, since it uses less digits than its factorization.

13682448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7336 (or 7327 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

The square root of 13682448 is about 3698.9793186770. The cubic root of 13682448 is about 239.1780213435.

The spelling of 13682448 in words is "thirteen million, six hundred eighty-two thousand, four hundred forty-eight".