13716640 has 96 divisors (see below), whose sum is σ = 38150784. Its totient is φ = 4561920.

The previous prime is 13716631. The next prime is 13716641. The reversal of 13716640 is 4661731.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 13716599 and 13716608.

It is not an unprimeable number, because it can be changed into a prime (13716641) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41275 + ... + 41605.

It is an arithmetic number, because the mean of its divisors is an integer number (397404).

Almost surely, 2^13716640 is an apocalyptic number.

13716640 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 13716640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19075392).

13716640 is an abundant number, since it is smaller than the sum of its proper divisors (24434144).

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

13716640 is a wasteful number, since it uses less digits than its factorization.

13716640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 390 (or 382 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 28.

The square root of 13716640 is about 3703.5982503506. The cubic root of 13716640 is about 239.3770883570.

The spelling of 13716640 in words is "thirteen million, seven hundred sixteen thousand, six hundred forty".