13713768 has 48 divisors (see below), whose sum is σ = 37627200. Its totient is φ = 4511520.

The previous prime is 13713757. The next prime is 13713769. The reversal of 13713768 is 86731731.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (13713769) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4483 + ... + 6893.

It is an arithmetic number, because the mean of its divisors is an integer number (783900).

Almost surely, 2^13713768 is an apocalyptic number.

13713768 is a gapful number since it is divisible by the number (18) 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 13713768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18813600).

13713768 is an abundant number, since it is smaller than the sum of its proper divisors (23913432).

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

13713768 is a wasteful number, since it uses less digits than its factorization.

13713768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2502 (or 2495 counting only the distinct ones).

The product of its digits is 21168, while the sum is 36.

The square root of 13713768 is about 3703.2104990130. The cubic root of 13713768 is about 239.3603802082.

The spelling of 13713768 in words is "thirteen million, seven hundred thirteen thousand, seven hundred sixty-eight".