11631816 has 128 divisors (see below), whose sum is σ = 37920000. Its totient is φ = 3302208.

The previous prime is 11631811. The next prime is 11631817. The reversal of 11631816 is 61813611.

11631816 is a `hidden beast` number, since 11 + 631 + 8 + 16 = 666.

11631816 is digitally balanced in base 2 and base 8, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

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

11631816 is strictly pandigital in base 8.

It is a self number, because there is not a number n which added to its sum of digits gives 11631816.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11631811) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 74010 + ... + 74166.

It is an arithmetic number, because the mean of its divisors is an integer number (296250).

Almost surely, 2^11631816 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 11631816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18960000).

11631816 is an abundant number, since it is smaller than the sum of its proper divisors (26288184).

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

11631816 is a wasteful number, since it uses less digits than its factorization.

11631816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193 (or 169 counting only the distinct ones).

The product of its digits is 864, while the sum is 27.

The square root of 11631816 is about 3410.5448245112. The cubic root of 11631816 is about 226.5770099086.

The spelling of 11631816 in words is "eleven million, six hundred thirty-one thousand, eight hundred sixteen".