287120 has 40 divisors (see below), whose sum is σ = 692664. Its totient is φ = 110592.

The previous prime is 287117. The next prime is 287137. The reversal of 287120 is 21782.

It can be written as a sum of positive squares in 4 ways, for example, as 71824 + 215296 = 268^2 + 464^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 287092 and 287101.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2912 + ... + 3008.

2²⁸⁷¹²⁰ is an apocalyptic number.

287120 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 287120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (346332).

287120 is an abundant number, since it is smaller than the sum of its proper divisors (405544).

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

287120 is a wasteful number, since it uses less digits than its factorization.

287120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 20.

The square root of 287120 is about 535.8357957434. The cubic root of 287120 is about 65.9712148733.

The spelling of 287120 in words is "two hundred eighty-seven thousand, one hundred twenty".