10967880 has 128 divisors (see below), whose sum is σ = 41057280. Its totient is φ = 2277120.

The previous prime is 10967857. The next prime is 10967903. The reversal of 10967880 is 8876901.

10967880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10967857) and next prime (10967903).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8647 + ... + 9833.

It is an arithmetic number, because the mean of its divisors is an integer number (320760).

Almost surely, 2^10967880 is an apocalyptic number.

10967880 is a gapful number since it is divisible by the number (10) 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 10967880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20528640).

10967880 is an abundant number, since it is smaller than the sum of its proper divisors (30089400).

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

10967880 is a wasteful number, since it uses less digits than its factorization.

10967880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1219 (or 1215 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 39.

The square root of 10967880 is about 3311.7789781324. The cubic root of 10967880 is about 222.1813306241.

The spelling of 10967880 in words is "ten million, nine hundred sixty-seven thousand, eight hundred eighty".