11630016 has 84 divisors (see below), whose sum is σ = 33984184. Its totient is φ = 3801600.

The previous prime is 11630011. The next prime is 11630029. The reversal of 11630016 is 61003611.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11630011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 34971 + ... + 35301.

Almost surely, 2^11630016 is an apocalyptic number.

11630016 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 11630016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16992092).

11630016 is an abundant number, since it is smaller than the sum of its proper divisors (22354168).

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

11630016 is a wasteful number, since it uses less digits than its factorization.

11630016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 410 (or 397 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 11630016 is about 3410.2809268446. The cubic root of 11630016 is about 226.5653218610.

Adding to 11630016 its reverse (61003611), we get a palindrome (72633627).

The spelling of 11630016 in words is "eleven million, six hundred thirty thousand, sixteen".