8081920 has 160 divisors (see below), whose sum is σ = 24748416. Its totient is φ = 2457600.

The previous prime is 8081849. The next prime is 8081929. The reversal of 8081920 is 291808.

8081920 is nontrivially palindromic in base 15.

It is a tau number, because it is divible by the number of its divisors (160).

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 (8081929) 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, 197100 + ... + 197140.

Almost surely, 2^8081920 is an apocalyptic number.

8081920 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 8081920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12374208).

8081920 is an abundant number, since it is smaller than the sum of its proper divisors (16666496).

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

8081920 is a wasteful number, since it uses less digits than its factorization.

8081920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82 (or 66 counting only the distinct ones).

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

The square root of 8081920 is about 2842.8717874713. The cubic root of 8081920 is about 200.6803496640.

It can be divided in two parts, 80 and 81920, that multiplied together give a square (6553600 = 2560²).

The spelling of 8081920 in words is "eight million, eighty-one thousand, nine hundred twenty".