13667940 has 240 divisors, whose sum is σ = 51226560. Its totient is φ = 3006720.

The previous prime is 13667939. The next prime is 13667963. The reversal of 13667940 is 4976631.

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

It is a junction number, because it is equal to n+sod(n) for n = 13667895 and 13667904.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 231631 + ... + 231689.

It is an arithmetic number, because the mean of its divisors is an integer number (213444).

Almost surely, 2^13667940 is an apocalyptic number.

13667940 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 13667940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25613280).

13667940 is an abundant number, since it is smaller than the sum of its proper divisors (37558620).

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

13667940 is a wasteful number, since it uses less digits than its factorization.

13667940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 13667940 is about 3697.0177170254. The cubic root of 13667940 is about 239.0934550458.

The spelling of 13667940 in words is "thirteen million, six hundred sixty-seven thousand, nine hundred forty".