13677480 has 48 divisors (see below), whose sum is σ = 44452980. Its totient is φ = 3647232.

The previous prime is 13677463. The next prime is 13677491. The reversal of 13677480 is 8477631.

It can be written as a sum of positive squares in 2 ways, for example, as 11655396 + 2022084 = 3414^2 + 1422^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18637 + ... + 19356.

Almost surely, 2^13677480 is an apocalyptic number.

13677480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13677480 is an abundant number, since it is smaller than the sum of its proper divisors (30775500).

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

13677480 is a wasteful number, since it uses less digits than its factorization.

13677480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38010 (or 38003 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 13677480 is about 3698.3077211070. The cubic root of 13677480 is about 239.1490698904.

The spelling of 13677480 in words is "thirteen million, six hundred seventy-seven thousand, four hundred eighty".