285082560 has 336 divisors, whose sum is σ = 1141171200. Its totient is φ = 63977472.

The previous prime is 285082559. The next prime is 285082579. The reversal of 285082560 is 65280582.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1592551 + ... + 1592729.

Almost surely, 2^285082560 is an apocalyptic number.

285082560 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 285082560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (570585600).

285082560 is an abundant number, since it is smaller than the sum of its proper divisors (856088640).

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

285082560 is a wasteful number, since it uses less digits than its factorization.

285082560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 285082560 is about 16884.3880552420. The cubic root of 285082560 is about 658.1479759459.

The spelling of 285082560 in words is "two hundred eighty-five million, eighty-two thousand, five hundred sixty".