11838816 has 144 divisors (see below), whose sum is σ = 38093328. Its totient is φ = 3456000.

The previous prime is 11838793. The next prime is 11838821. The reversal of 11838816 is 61883811.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 117166 + ... + 117266.

It is an arithmetic number, because the mean of its divisors is an integer number (264537).

Almost surely, 2^11838816 is an apocalyptic number.

11838816 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 11838816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19046664).

11838816 is an abundant number, since it is smaller than the sum of its proper divisors (26254512).

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

11838816 is a wasteful number, since it uses less digits than its factorization.

11838816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 154 counting only the distinct ones).

The product of its digits is 9216, while the sum is 36.

The square root of 11838816 is about 3440.7580560103. The cubic root of 11838816 is about 227.9131710000.

It can be divided in two parts, 1183 and 8816, that added together give a palindrome (9999).

The spelling of 11838816 in words is "eleven million, eight hundred thirty-eight thousand, eight hundred sixteen".