8011920 has 160 divisors (see below), whose sum is σ = 29998080. Its totient is φ = 1728000.

The previous prime is 8011891. The next prime is 8011921. The reversal of 8011920 is 291108.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (8011921) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31795 + ... + 32045.

It is an arithmetic number, because the mean of its divisors is an integer number (187488).

Almost surely, 2^8011920 is an apocalyptic number.

8011920 is a gapful number since it is divisible by the number (80) 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 8011920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14999040).

8011920 is an abundant number, since it is smaller than the sum of its proper divisors (21986160).

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

8011920 is a wasteful number, since it uses less digits than its factorization.

8011920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 293 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 21.

The square root of 8011920 is about 2830.5335186145. The cubic root of 8011920 is about 200.0992840386.

The spelling of 8011920 in words is "eight million, eleven thousand, nine hundred twenty".