287664 has 40 divisors (see below), whose sum is σ = 802032. Its totient is φ = 88320.

The previous prime is 287629. The next prime is 287669. The reversal of 287664 is 466782.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 287664.

It is not an unprimeable number, because it can be changed into a prime (287669) by changing a digit.

287664 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 394 + ... + 854.

2²⁸⁷⁶⁶⁴ is an apocalyptic number.

287664 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 287664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (401016).

287664 is an abundant number, since it is smaller than the sum of its proper divisors (514368).

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

287664 is a wasteful number, since it uses less digits than its factorization.

287664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 485 (or 479 counting only the distinct ones).

The product of its digits is 16128, while the sum is 33.

The square root of 287664 is about 536.3431737237. The cubic root of 287664 is about 66.0128533277.

The spelling of 287664 in words is "two hundred eighty-seven thousand, six hundred sixty-four".