11005960 has 64 divisors (see below), whose sum is σ = 29548800. Its totient is φ = 3607296.

The previous prime is 11005957. The next prime is 11006011. The reversal of 11005960 is 6950011.

It is a super-2 number, since 2×11005960² = 242262311043200, which contains 22 as substring.

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, 5586 + ... + 7294.

It is an arithmetic number, because the mean of its divisors is an integer number (461700).

Almost surely, 2^11005960 is an apocalyptic number.

11005960 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 11005960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14774400).

11005960 is an abundant number, since it is smaller than the sum of its proper divisors (18542840).

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

11005960 is a wasteful number, since it uses less digits than its factorization.

11005960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1750 (or 1746 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 22.

The square root of 11005960 is about 3317.5231724888. The cubic root of 11005960 is about 222.4381682331.

Adding to 11005960 its reverse (6950011), we get a palindrome (17955971).

The spelling of 11005960 in words is "eleven million, five thousand, nine hundred sixty".