11815008 has 48 divisors (see below), whose sum is σ = 32368896. Its totient is φ = 3766400.

The previous prime is 11815007. The next prime is 11815009. The reversal of 11815008 is 80051811.

It is an interprime number because it is at equal distance from previous prime (11815007) and next prime (11815009).

It is a tau number, because it is divible by the number of its divisors (48).

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11815007) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 468 + ... + 4883.

It is an arithmetic number, because the mean of its divisors is an integer number (674352).

Almost surely, 2^11815008 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 11815008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16184448).

11815008 is an abundant number, since it is smaller than the sum of its proper divisors (20553888).

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

11815008 is a wasteful number, since it uses less digits than its factorization.

11815008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5387 (or 5379 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 24.

The square root of 11815008 is about 3437.2966121649. The cubic root of 11815008 is about 227.7602897716.

Adding to 11815008 its reverse (80051811), we get a palindrome (91866819).

The spelling of 11815008 in words is "eleven million, eight hundred fifteen thousand, eight".