10967768 has 40 divisors (see below), whose sum is σ = 24032580. Its totient is φ = 4692240.

The previous prime is 10967753. The next prime is 10967773. The reversal of 10967768 is 86776901.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 18923 + ... + 19493.

Almost surely, 2^10967768 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 10967768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12016290).

10967768 is an abundant number, since it is smaller than the sum of its proper divisors (13064812).

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

10967768 is an frugal number, since it uses more digits than its factorization.

10967768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 605 (or 580 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 44.

The square root of 10967768 is about 3311.7620687483. The cubic root of 10967768 is about 222.1805743432.

The spelling of 10967768 in words is "ten million, nine hundred sixty-seven thousand, seven hundred sixty-eight".