285864 has 32 divisors (see below), whose sum is σ = 733920. Its totient is φ = 92736.

The previous prime is 285841. The next prime is 285871. The reversal of 285864 is 468582.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 285864.

It is an unprimeable number.

285864 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 894 + ... + 1170.

It is an arithmetic number, because the mean of its divisors is an integer number (22935).

2²⁸⁵⁸⁶⁴ is an apocalyptic number.

285864 is a gapful number since it is divisible by the number (24) 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 285864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (366960).

285864 is an abundant number, since it is smaller than the sum of its proper divisors (448056).

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

285864 is a wasteful number, since it uses less digits than its factorization.

285864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 329 (or 325 counting only the distinct ones).

The product of its digits is 15360, while the sum is 33.

The square root of 285864 is about 534.6625103745. The cubic root of 285864 is about 65.8748777283.

The spelling of 285864 in words is "two hundred eighty-five thousand, eight hundred sixty-four".