10968320 has 144 divisors (see below), whose sum is σ = 30905280. Its totient is φ = 3686400.

The previous prime is 10968319. The next prime is 10968329. The reversal of 10968320 is 2386901.

It is a super-3 number, since 3×10968320³ (a number of 22 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10968329) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 267500 + ... + 267540.

It is an arithmetic number, because the mean of its divisors is an integer number (214620).

Almost surely, 2^10968320 is an apocalyptic number.

10968320 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 10968320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15452640).

10968320 is an abundant number, since it is smaller than the sum of its proper divisors (19936960).

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

10968320 is a wasteful number, since it uses less digits than its factorization.

10968320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 29.

The square root of 10968320 is about 3311.8454070201. The cubic root of 10968320 is about 222.1843016777.

The spelling of 10968320 in words is "ten million, nine hundred sixty-eight thousand, three hundred twenty".