285680000 has 80 divisors (see below), whose sum is σ = 711381660. Its totient is φ = 114240000.

The previous prime is 285679969. The next prime is 285680011. The reversal of 285680000 is 86582.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×285680000² = 163226124800000000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 78215 + ... + 81785.

Almost surely, 2^285680000 is an apocalyptic number.

285680000 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 285680000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (355690830).

285680000 is an abundant number, since it is smaller than the sum of its proper divisors (425701660).

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

285680000 is an frugal number, since it uses more digits than its factorization.

285680000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3605 (or 3578 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 29.

The square root of 285680000 is about 16902.0708790373. The cubic root of 285680000 is about 658.6074096042.

The spelling of 285680000 in words is "two hundred eighty-five million, six hundred eighty thousand".