10948768 has 48 divisors (see below), whose sum is σ = 22498560. Its totient is φ = 5241600.

The previous prime is 10948757. The next prime is 10948771. The reversal of 10948768 is 86784901.

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, 138553 + ... + 138631.

It is an arithmetic number, because the mean of its divisors is an integer number (468720).

Almost surely, 2^10948768 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 10948768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11249280).

10948768 is an abundant number, since it is smaller than the sum of its proper divisors (11549792).

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

10948768 is an equidigital number, since it uses as much as digits as its factorization.

10948768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 43.

The square root of 10948768 is about 3308.8922617698. The cubic root of 10948768 is about 222.0522021005.

The spelling of 10948768 in words is "ten million, nine hundred forty-eight thousand, seven hundred sixty-eight".