285213960 has 112 divisors (see below), whose sum is σ = 962255340. Its totient is φ = 76049280.

The previous prime is 285213953. The next prime is 285213967. The reversal of 285213960 is 69312582.

It is an interprime number because it is at equal distance from previous prime (285213953) and next prime (285213967).

It can be written as a sum of positive squares in 2 ways, for example, as 282038436 + 3175524 = 16794^2 + 1782^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (285213967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 24270 + ... + 34050.

Almost surely, 2^285213960 is an apocalyptic number.

285213960 is a gapful number since it is divisible by the number (20) 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 285213960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (481127670).

285213960 is an abundant number, since it is smaller than the sum of its proper divisors (677041380).

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

285213960 is an equidigital number, since it uses as much as digits as its factorization.

285213960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9810 (or 9791 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 285213960 is about 16888.2787755295. The cubic root of 285213960 is about 658.2490780741.

The spelling of 285213960 in words is "two hundred eighty-five million, two hundred thirteen thousand, nine hundred sixty".