11622016 has 96 divisors (see below), whose sum is σ = 28779300. Its totient is φ = 4644864.

The previous prime is 11622007. The next prime is 11622041. The reversal of 11622016 is 61022611.

It can be written as a sum of positive squares in 2 ways, for example, as 10916416 + 705600 = 3304^2 + 840^2 .

It is a junction number, because it is equal to n+sod(n) for n = 11621984 and 11622002.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 106570 + ... + 106678.

Almost surely, 2^11622016 is an apocalyptic number.

11622016 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 11622016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14389650).

11622016 is an abundant number, since it is smaller than the sum of its proper divisors (17157284).

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

11622016 is a wasteful number, since it uses less digits than its factorization.

11622016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

The square root of 11622016 is about 3409.1078011703. The cubic root of 11622016 is about 226.5133603868.

Adding to 11622016 its reverse (61022611), we get a palindrome (72644627).

The spelling of 11622016 in words is "eleven million, six hundred twenty-two thousand, sixteen".