8011008 has 144 divisors (see below), whose sum is σ = 25345600. Its totient is φ = 2488320.

The previous prime is 8011007. The next prime is 8011013. The reversal of 8011008 is 8001108.

It is a happy number.

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 (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8011007) 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, 131298 + ... + 131358.

Almost surely, 2^8011008 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 8011008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12672800).

8011008 is an abundant number, since it is smaller than the sum of its proper divisors (17334592).

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

8011008 is a wasteful number, since it uses less digits than its factorization.

8011008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

The square root of 8011008 is about 2830.3724136587. The cubic root of 8011008 is about 200.0916912904.

It can be divided in two parts, 801100 and 8, that added together give a palindrome (801108).

The spelling of 8011008 in words is "eight million, eleven thousand, eight".