285261120 has 168 divisors, whose sum is σ = 1008074184. Its totient is φ = 73986048.

The previous prime is 285261089. The next prime is 285261121. The reversal of 285261120 is 21162582.

It is a happy number.

285261120 is a `hidden beast` number, since 28 + 5 + 2 + 611 + 20 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 14197824 + 271063296 = 3768^2 + 16464^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (285261121) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 105222 + ... + 107898.

Almost surely, 2^285261120 is an apocalyptic number.

285261120 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 285261120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (504037092).

285261120 is an abundant number, since it is smaller than the sum of its proper divisors (722813064).

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

285261120 is a wasteful number, since it uses less digits than its factorization.

285261120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2737 (or 2724 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 285261120 is about 16889.6749524673. The cubic root of 285261120 is about 658.2853564710.

It can be divided in two parts, 28526 and 1120, that added together give a triangular number (29646 = T₂₄₃).

The spelling of 285261120 in words is "two hundred eighty-five million, two hundred sixty-one thousand, one hundred twenty".