10963968 has 88 divisors (see below), whose sum is σ = 30262848. Its totient is φ = 3526656.

The previous prime is 10963921. The next prime is 10963991. The reversal of 10963968 is 86936901.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 132055 + ... + 132137.

It is an arithmetic number, because the mean of its divisors is an integer number (343896).

Almost surely, 2^10963968 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 10963968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15131424).

10963968 is an abundant number, since it is smaller than the sum of its proper divisors (19298880).

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

10963968 is an equidigital number, since it uses as much as digits as its factorization.

10963968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 42.

The square root of 10963968 is about 3311.1883063335. The cubic root of 10963968 is about 222.1549117621.

The spelling of 10963968 in words is "ten million, nine hundred sixty-three thousand, nine hundred sixty-eight".