13812768 has 90 divisors (see below), whose sum is σ = 41187069. Its totient is φ = 4541184.

The previous prime is 13812767. The next prime is 13812793. The reversal of 13812768 is 86721831.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

13812768 is a `hidden beast` number, since 1 + 381 + 276 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 13749264 + 63504 = 3708^2 + 252^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=2628.

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

Its product of digits (16128) is a multiple of the sum of its prime factors (168).

It is not an unprimeable number, because it can be changed into a prime (13812767) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 189180 + ... + 189252.

Almost surely, 2^13812768 is an apocalyptic number.

13812768 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 13812768

13812768 is an abundant number, since it is smaller than the sum of its proper divisors (27374301).

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

13812768 is an frugal number, since it uses more digits than its factorization.

13812768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 78 counting only the distinct ones).

The product of its digits is 16128, while the sum is 36.

The square root of 13812768 is about 3716.5532419165. The cubic root of 13812768 is about 239.9349823879.

The spelling of 13812768 in words is "thirteen million, eight hundred twelve thousand, seven hundred sixty-eight".