287560 has 64 divisors (see below), whose sum is σ = 806400. Its totient is φ = 89856.

The previous prime is 287557. The next prime is 287579. The reversal of 287560 is 65782.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3601 + ... + 3679.

It is an arithmetic number, because the mean of its divisors is an integer number (12600).

2²⁸⁷⁵⁶⁰ is an apocalyptic number.

287560 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 287560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (403200).

287560 is an abundant number, since it is smaller than the sum of its proper divisors (518840).

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

287560 is a wasteful number, since it uses less digits than its factorization.

287560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 28.

The square root of 287560 is about 536.2462121078. The cubic root of 287560 is about 66.0048970961.

The spelling of 287560 in words is "two hundred eighty-seven thousand, five hundred sixty".