287168 has 28 divisors (see below), whose sum is σ = 652272. Its totient is φ = 122880.

The previous prime is 287167. The next prime is 287173. The reversal of 287168 is 861782.

It is a tau number, because it is divible by the number of its divisors (28).

It is a Harshad number since it is a multiple of its sum of digits (32).

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 287168.

It is not an unprimeable number, because it can be changed into a prime (287167) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 128 + ... + 768.

2²⁸⁷¹⁶⁸ is an apocalyptic number.

287168 is a gapful number since it is divisible by the number (28) 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 287168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326136).

287168 is an abundant number, since it is smaller than the sum of its proper divisors (365104).

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

287168 is an equidigital number, since it uses as much as digits as its factorization.

287168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 660 (or 650 counting only the distinct ones).

The product of its digits is 5376, while the sum is 32.

The square root of 287168 is about 535.8805837125. The cubic root of 287168 is about 65.9748909691.

It can be divided in two parts, 28 and 7168, that multiplied together give a square (200704 = 448²).

The spelling of 287168 in words is "two hundred eighty-seven thousand, one hundred sixty-eight".