11601216 has 84 divisors (see below), whose sum is σ = 36295584. Its totient is φ = 3513600.

The previous prime is 11601203. The next prime is 11601241. The reversal of 11601216 is 61210611.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5421 + ... + 7251.

Almost surely, 2^11601216 is an apocalyptic number.

11601216 is a gapful number since it is divisible by the number (16) 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 11601216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18147792).

11601216 is an abundant number, since it is smaller than the sum of its proper divisors (24694368).

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

11601216 is a wasteful number, since it uses less digits than its factorization.

11601216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1860 (or 1847 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

The square root of 11601216 is about 3406.0557834539. The cubic root of 11601216 is about 226.3781488648.

Adding to 11601216 its reverse (61210611), we get a palindrome (72811827).

The spelling of 11601216 in words is "eleven million, six hundred one thousand, two hundred sixteen".