8010090 has 160 divisors (see below), whose sum is σ = 25090560. Its totient is φ = 1814400.

The previous prime is 8010031. The next prime is 8010109. The reversal of 8010090 is 900108.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 258375 + ... + 258405.

It is an arithmetic number, because the mean of its divisors is an integer number (156816).

Almost surely, 2^8010090 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8010090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12545280).

8010090 is an abundant number, since it is smaller than the sum of its proper divisors (17080470).

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

8010090 is a wasteful number, since it uses less digits than its factorization.

8010090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

The square root of 8010090 is about 2830.2102395405. The cubic root of 8010090 is about 200.0840480080.

Adding to 8010090 its sum of digits (18), we get a palindrome (8010108).

Adding to 8010090 its reverse (900108), we get a palindrome (8910198).

The spelling of 8010090 in words is "eight million, ten thousand, ninety".