13676040 has 224 divisors, whose sum is σ = 53513280. Its totient is φ = 3079296.

The previous prime is 13676011. The next prime is 13676057. The reversal of 13676040 is 4067631.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 13675995 and 13676013.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 204087 + ... + 204153.

Almost surely, 2^13676040 is an apocalyptic number.

13676040 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 13676040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26756640).

13676040 is an abundant number, since it is smaller than the sum of its proper divisors (39837240).

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

13676040 is an equidigital number, since it uses as much as digits as its factorization.

13676040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 13676040 is about 3698.1130323450. The cubic root of 13676040 is about 239.1406768544.

It can be divided in two parts, 136 and 76040, that added together give a square (76176 = 276²).

The spelling of 13676040 in words is "thirteen million, six hundred seventy-six thousand, forty".