11845008 has 80 divisors (see below), whose sum is σ = 38866560. Its totient is φ = 3383424.

The previous prime is 11844979. The next prime is 11845027. The reversal of 11845008 is 80054811.

11845008 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 Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1066 + ... + 4982.

It is an arithmetic number, because the mean of its divisors is an integer number (485832).

Almost surely, 2^11845008 is an apocalyptic number.

11845008 is a gapful number since it is divisible by the number (18) 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 11845008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19433280).

11845008 is an abundant number, since it is smaller than the sum of its proper divisors (27021552).

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

11845008 is a wasteful number, since it uses less digits than its factorization.

11845008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3941 (or 3929 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 27.

The square root of 11845008 is about 3441.6577401014. The cubic root of 11845008 is about 227.9528988576.

Adding to 11845008 its reverse (80054811), we get a palindrome (91899819).

The spelling of 11845008 in words is "eleven million, eight hundred forty-five thousand, eight".