287960 has 32 divisors (see below), whose sum is σ = 678240. Its totient is φ = 109824.

The previous prime is 287939. The next prime is 287977. The reversal of 287960 is 69782.

287960 = T₅ + T₆ + ... + T₁₁₉.

287960 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 287960.

It is an unprimeable number.

287960 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, 764 + ... + 1076.

It is an arithmetic number, because the mean of its divisors is an integer number (21195).

2²⁸⁷⁹⁶⁰ is an apocalyptic number.

287960 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 287960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339120).

287960 is an abundant number, since it is smaller than the sum of its proper divisors (390280).

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

287960 is a wasteful number, since it uses less digits than its factorization.

287960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 347 (or 343 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 32.

The square root of 287960 is about 536.6190455062. The cubic root of 287960 is about 66.0354874963.

The spelling of 287960 in words is "two hundred eighty-seven thousand, nine hundred sixty".