11296768 has 56 divisors (see below), whose sum is σ = 25950672. Its totient is φ = 4816896.

The previous prime is 11296673. The next prime is 11296801. The reversal of 11296768 is 86769211.

It is a tau number, because it is divible by the number of its divisors (56).

It is a self number, because there is not a number n which added to its sum of digits gives 11296768.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 57246 + ... + 57442.

Almost surely, 2^11296768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11296768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12975336).

11296768 is an abundant number, since it is smaller than the sum of its proper divisors (14653904).

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

11296768 is an frugal number, since it uses more digits than its factorization.

11296768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230 (or 206 counting only the distinct ones).

The product of its digits is 36288, while the sum is 40.

The square root of 11296768 is about 3361.0664974082. The cubic root of 11296768 is about 224.3803063329.

The spelling of 11296768 in words is "eleven million, two hundred ninety-six thousand, seven hundred sixty-eight".