11631216 has 40 divisors (see below), whose sum is σ = 30248064. Its totient is φ = 3851200.

The previous prime is 11631187. The next prime is 11631229. The reversal of 11631216 is 61213611.

11631216 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 11631192 and 11631201.

It is a congruent number.

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, 7291 + ... + 8741.

Almost surely, 2^11631216 is an apocalyptic number.

11631216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

11631216 is an abundant number, since it is smaller than the sum of its proper divisors (18616848).

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

11631216 is a wasteful number, since it uses less digits than its factorization.

11631216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1629 (or 1623 counting only the distinct ones).

The product of its digits is 216, while the sum is 21.

The square root of 11631216 is about 3410.4568608912. The cubic root of 11631216 is about 226.5731140267.

Adding to 11631216 its reverse (61213611), we get a palindrome (72844827).

The spelling of 11631216 in words is "eleven million, six hundred thirty-one thousand, two hundred sixteen".