11601128 has 64 divisors (see below), whose sum is σ = 27907200. Its totient is φ = 4389120.

The previous prime is 11601127. The next prime is 11601137. The reversal of 11601128 is 82110611.

It is not an unprimeable number, because it can be changed into a prime (11601127) 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, 22538 + ... + 23046.

It is an arithmetic number, because the mean of its divisors is an integer number (436050).

Almost surely, 2^11601128 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 11601128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13953600).

11601128 is an abundant number, since it is smaller than the sum of its proper divisors (16306072).

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

11601128 is a wasteful number, since it uses less digits than its factorization.

11601128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 570 (or 566 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 20.

The square root of 11601128 is about 3406.0428652617. The cubic root of 11601128 is about 226.3775764729.

Adding to 11601128 its reverse (82110611), we get a palindrome (93711739).

The spelling of 11601128 in words is "eleven million, six hundred one thousand, one hundred twenty-eight".