8018920 has 64 divisors (see below), whose sum is σ = 22216320. Its totient is φ = 2536704.

The previous prime is 8018911. The next prime is 8018921. The reversal of 8018920 is 298108.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (8018921) 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, 2539 + ... + 4741.

It is an arithmetic number, because the mean of its divisors is an integer number (347130).

Almost surely, 2^8018920 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 8018920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11108160).

8018920 is an abundant number, since it is smaller than the sum of its proper divisors (14197400).

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

8018920 is a wasteful number, since it uses less digits than its factorization.

8018920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2234 (or 2230 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 28.

The square root of 8018920 is about 2831.7697646525. The cubic root of 8018920 is about 200.1575425358.

The spelling of 8018920 in words is "eight million, eighteen thousand, nine hundred twenty".