287116000 has 96 divisors (see below), whose sum is σ = 711154080. Its totient is φ = 113920000.

The previous prime is 287115991. The next prime is 287116001. The reversal of 287116000 is 611782.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (287116001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 715800 + ... + 716200.

It is an arithmetic number, because the mean of its divisors is an integer number (7407855).

Almost surely, 2^287116000 is an apocalyptic number.

287116000 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 287116000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (355577040).

287116000 is an abundant number, since it is smaller than the sum of its proper divisors (424038080).

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

287116000 is a wasteful number, since it uses less digits than its factorization.

287116000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 605 (or 587 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 25.

The square root of 287116000 is about 16944.4976319748. The cubic root of 287116000 is about 659.7090851349.

Adding to 287116000 its reverse (611782), we get a palindrome (287727782).

The spelling of 287116000 in words is "two hundred eighty-seven million, one hundred sixteen thousand".