287064 has 40 divisors (see below), whose sum is σ = 805860. Its totient is φ = 95472.

The previous prime is 287059. The next prime is 287087. The reversal of 287064 is 460782.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 287064.

It is an unprimeable number.

287064 is an untouchable number, because it is not equal to the sum of proper divisors of any 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 9 ways as a sum of consecutive naturals, for example, 427 + ... + 869.

2²⁸⁷⁰⁶⁴ is an apocalyptic number.

287064 is a gapful number since it is divisible by the number (24) 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 287064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (402930).

287064 is an abundant number, since it is smaller than the sum of its proper divisors (518796).

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

287064 is a wasteful number, since it uses less digits than its factorization.

287064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 461 (or 448 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 287064 is about 535.7835383809. The cubic root of 287064 is about 65.9669255770.

The spelling of 287064 in words is "two hundred eighty-seven thousand, sixty-four".