287620 has 24 divisors (see below), whose sum is σ = 615384. Its totient is φ = 112896.

The previous prime is 287611. The next prime is 287629. The reversal of 287620 is 26782.

It is an interprime number because it is at equal distance from previous prime (287611) and next prime (287629).

It can be written as a sum of positive squares in 4 ways, for example, as 112896 + 174724 = 336^2 + 418^2 .

It is not an unprimeable number, because it can be changed into a prime (287629) by changing a digit.

287620 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 7 ways as a sum of consecutive naturals, for example, 1362 + ... + 1558.

It is an arithmetic number, because the mean of its divisors is an integer number (25641).

2²⁸⁷⁶²⁰ is an apocalyptic number.

287620 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

287620 is an abundant number, since it is smaller than the sum of its proper divisors (327764).

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

287620 is a wasteful number, since it uses less digits than its factorization.

287620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279 (or 277 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 25.

The square root of 287620 is about 536.3021536410. The cubic root of 287620 is about 66.0094874638.

The spelling of 287620 in words is "two hundred eighty-seven thousand, six hundred twenty".