285961590 has 160 divisors (see below), whose sum is σ = 857783520. Its totient is φ = 67931136.

The previous prime is 285961589. The next prime is 285961601. The reversal of 285961590 is 95169582.

285961590 is a `hidden beast` number, since 2 + 8 + 59 + 6 + 1 + 590 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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, 261084 + ... + 262176.

It is an arithmetic number, because the mean of its divisors is an integer number (5361147).

Almost surely, 2^285961590 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 285961590, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (428891760).

285961590 is an abundant number, since it is smaller than the sum of its proper divisors (571821930).

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

285961590 is a wasteful number, since it uses less digits than its factorization.

285961590 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1148 (or 1139 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 45.

The square root of 285961590 is about 16910.3988717002. The cubic root of 285961590 is about 658.8237313159.

The spelling of 285961590 in words is "two hundred eighty-five million, nine hundred sixty-one thousand, five hundred ninety".