13836768 has 48 divisors (see below), whose sum is σ = 39626496. Its totient is φ = 4192640.

The previous prime is 13836761. The next prime is 13836811. The reversal of 13836768 is 86763831.

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

It is a super-2 number, since 2×13836768² = 382912297371648, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13836761) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5496 + ... + 7607.

It is an arithmetic number, because the mean of its divisors is an integer number (825552).

Almost surely, 2^13836768 is an apocalyptic number.

It is an amenable number.

13836768 is an abundant number, since it is smaller than the sum of its proper divisors (25789728).

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

13836768 is a wasteful number, since it uses less digits than its factorization.

13836768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13127 (or 13119 counting only the distinct ones).

The product of its digits is 145152, while the sum is 42.

The square root of 13836768 is about 3719.7806386936. The cubic root of 13836768 is about 240.0738661524.

The spelling of 13836768 in words is "thirteen million, eight hundred thirty-six thousand, seven hundred sixty-eight".