13677640 has 32 divisors (see below), whose sum is σ = 32114880. Its totient is φ = 5232832.

The previous prime is 13677637. The next prime is 13677649. The reversal of 13677640 is 4677631.

It is a junction number, because it is equal to n+sod(n) for n = 13677596 and 13677605.

It is not an unprimeable number, because it can be changed into a prime (13677649) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6514 + ... + 8353.

It is an arithmetic number, because the mean of its divisors is an integer number (1003590).

Almost surely, 2^13677640 is an apocalyptic number.

13677640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13677640 is an abundant number, since it is smaller than the sum of its proper divisors (18437240).

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

13677640 is a wasteful number, since it uses less digits than its factorization.

13677640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14901 (or 14897 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 34.

The square root of 13677640 is about 3698.3293525591. The cubic root of 13677640 is about 239.1500024136.

Subtracting from 13677640 its reverse (4677631), we obtain a palindrome (9000009).

The spelling of 13677640 in words is "thirteen million, six hundred seventy-seven thousand, six hundred forty".