8090120 has 32 divisors (see below), whose sum is σ = 18650520. Its totient is φ = 3156480.

The previous prime is 8090119. The next prime is 8090123. The reversal of 8090120 is 210908.

It can be written as a sum of positive squares in 4 ways, for example, as 3587236 + 4502884 = 1894^2 + 2122^2 .

It is a super-2 number, since 2×8090120² = 130900083228800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 8090092 and 8090101.

It is not an unprimeable number, because it can be changed into a prime (8090123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 827 + ... + 4106.

Almost surely, 2^8090120 is an apocalyptic number.

It is an amenable number.

8090120 is an abundant number, since it is smaller than the sum of its proper divisors (10560400).

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

8090120 is a wasteful number, since it uses less digits than its factorization.

8090120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4985 (or 4981 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 20.

The square root of 8090120 is about 2844.3136254640. The cubic root of 8090120 is about 200.7481975121.

The spelling of 8090120 in words is "eight million, ninety thousand, one hundred twenty".