285720960 has 192 divisors, whose sum is σ = 1059775920. Its totient is φ = 65286144.

The previous prime is 285720947. The next prime is 285720961. The reversal of 285720960 is 69027582.

It is a happy number.

285720960 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (285720961) 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, 92562 + ... + 95598.

Almost surely, 2^285720960 is an apocalyptic number.

285720960 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 285720960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (529887960).

285720960 is an abundant number, since it is smaller than the sum of its proper divisors (774054960).

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

285720960 is a wasteful number, since it uses less digits than its factorization.

285720960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3073 (or 3054 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 39.

The square root of 285720960 is about 16903.2825214513. The cubic root of 285720960 is about 658.6388845299.

The spelling of 285720960 in words is "two hundred eighty-five million, seven hundred twenty thousand, nine hundred sixty".