285960 has 32 divisors (see below), whose sum is σ = 858240. Its totient is φ = 76224.

The previous prime is 285953. The next prime is 285977. The reversal of 285960 is 69582.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1072 + ... + 1311.

It is an arithmetic number, because the mean of its divisors is an integer number (26820).

2²⁸⁵⁹⁶⁰ is an apocalyptic number.

285960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

285960 is an abundant number, since it is smaller than the sum of its proper divisors (572280).

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

285960 is a wasteful number, since it uses less digits than its factorization.

285960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2397 (or 2393 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 285960 is about 534.7522790975. The cubic root of 285960 is about 65.8822510253.

The spelling of 285960 in words is "two hundred eighty-five thousand, nine hundred sixty".