287940 has 24 divisors (see below), whose sum is σ = 806400. Its totient is φ = 76768.

The previous prime is 287939. The next prime is 287977. The reversal of 287940 is 49782.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 287898 and 287907.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 287940.

It is an unprimeable 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, 2340 + ... + 2459.

It is an arithmetic number, because the mean of its divisors is an integer number (33600).

2²⁸⁷⁹⁴⁰ is an apocalyptic number.

287940 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

287940 is an abundant number, since it is smaller than the sum of its proper divisors (518460).

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

287940 is a wasteful number, since it uses less digits than its factorization.

287940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4811 (or 4809 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 287940 is about 536.6004099887. The cubic root of 287940 is about 66.0339586493.

The spelling of 287940 in words is "two hundred eighty-seven thousand, nine hundred forty".