11101968 has 80 divisors (see below), whose sum is σ = 32934400. Its totient is φ = 3576960.

The previous prime is 11101957. The next prime is 11102009. The reversal of 11101968 is 86910111.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12978 + ... + 13806.

It is an arithmetic number, because the mean of its divisors is an integer number (411680).

Almost surely, 2^11101968 is an apocalyptic number.

11101968 is a gapful number since it is divisible by the number (18) 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 11101968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16467200).

11101968 is an abundant number, since it is smaller than the sum of its proper divisors (21832432).

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

11101968 is a wasteful number, since it uses less digits than its factorization.

11101968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 877 (or 865 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 27.

The square root of 11101968 is about 3331.9615844124. The cubic root of 11101968 is about 223.0830928993.

The spelling of 11101968 in words is "eleven million, one hundred one thousand, nine hundred sixty-eight".