13726368 has 48 divisors (see below), whose sum is σ = 40037760. Its totient is φ = 4575168.

The previous prime is 13726351. The next prime is 13726387. The reversal of 13726368 is 86362731.

It is a happy number.

13726368 is a `hidden beast` number, since 13 + 7 + 2 + 636 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (48).

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

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7080 + ... + 8807.

It is an arithmetic number, because the mean of its divisors is an integer number (834120).

Almost surely, 2^13726368 is an apocalyptic number.

13726368 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

13726368 is an abundant number, since it is smaller than the sum of its proper divisors (26311392).

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

13726368 is a wasteful number, since it uses less digits than its factorization.

13726368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15906 (or 15892 counting only the distinct ones).

The product of its digits is 36288, while the sum is 36.

The square root of 13726368 is about 3704.9113349715. The cubic root of 13726368 is about 239.4336646523.

The spelling of 13726368 in words is "thirteen million, seven hundred twenty-six thousand, three hundred sixty-eight".