11413008 has 80 divisors (see below), whose sum is σ = 33926400. Its totient is φ = 3669120.

The previous prime is 11413007. The next prime is 11413021. The reversal of 11413008 is 80031411.

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

It is not an unprimeable number, because it can be changed into a prime (11413007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12073 + ... + 12983.

It is an arithmetic number, because the mean of its divisors is an integer number (424080).

Almost surely, 2^11413008 is an apocalyptic number.

11413008 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 11413008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16963200).

11413008 is an abundant number, since it is smaller than the sum of its proper divisors (22513392).

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

11413008 is a wasteful number, since it uses less digits than its factorization.

11413008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 957 (or 945 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 11413008 is about 3378.3143725829. The cubic root of 11413008 is about 225.1472813488.

Adding to 11413008 its reverse (80031411), we get a palindrome (91444419).

The spelling of 11413008 in words is "eleven million, four hundred thirteen thousand, eight".