285840090 has 160 divisors (see below), whose sum is σ = 817534080. Its totient is φ = 71508096.

The previous prime is 285840089. The next prime is 285840109. The reversal of 285840090 is 90048582.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1248096 + ... + 1248324.

It is an arithmetic number, because the mean of its divisors is an integer number (5109588).

Almost surely, 2^285840090 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 285840090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (408767040).

285840090 is an abundant number, since it is smaller than the sum of its proper divisors (531693990).

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

285840090 is a wasteful number, since it uses less digits than its factorization.

285840090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 338 (or 329 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 285840090 is about 16906.8060259766. The cubic root of 285840090 is about 658.7304105977.

The spelling of 285840090 in words is "two hundred eighty-five million, eight hundred forty thousand, ninety".