12696768 has 168 divisors, whose sum is σ = 43110912. Its totient is φ = 3497472.

The previous prime is 12696709. The next prime is 12696781. The reversal of 12696768 is 86769621.

It is a tau number, because it is divible by the number of its divisors (168).

It is a super-2 number, since 2×12696768² = 322415835291648, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

Its product of digits (217728) is a multiple of the sum of its prime divisors (126).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 189471 + ... + 189537.

Almost surely, 2^12696768 is an apocalyptic number.

12696768 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 12696768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21555456).

12696768 is an abundant number, since it is smaller than the sum of its proper divisors (30414144).

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

12696768 is a wasteful number, since it uses less digits than its factorization.

12696768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 126 counting only the distinct ones).

The product of its digits is 217728, while the sum is 45.

The square root of 12696768 is about 3563.2524468525. The cubic root of 12696768 is about 233.2908621111.

The spelling of 12696768 in words is "twelve million, six hundred ninety-six thousand, seven hundred sixty-eight".