285324120 has 160 divisors (see below), whose sum is σ = 971475120. Its totient is φ = 75098880.

The previous prime is 285324119. The next prime is 285324133. The reversal of 285324120 is 21423582.

285324120 is a `hidden beast` number, since 2 + 8 + 532 + 4 + 120 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 268390 + ... + 269450.

Almost surely, 2^285324120 is an apocalyptic number.

285324120 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 285324120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (485737560).

285324120 is an abundant number, since it is smaller than the sum of its proper divisors (686151000).

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

285324120 is a wasteful number, since it uses less digits than its factorization.

285324120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1167 (or 1154 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 285324120 is about 16891.5398942784. The cubic root of 285324120 is about 658.3338137403. Note that the first 3 decimals are identical.

The spelling of 285324120 in words is "two hundred eighty-five million, three hundred twenty-four thousand, one hundred twenty".