287130960 has 160 divisors (see below), whose sum is σ = 994519680. Its totient is φ = 76142592.

The previous prime is 287130953. The next prime is 287130967. The reversal of 287130960 is 69031782.

It is an interprime number because it is at equal distance from previous prime (287130953) and next prime (287130967).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (287130967) 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 31 ways as a sum of consecutive naturals, for example, 662904 + ... + 663336.

It is an arithmetic number, because the mean of its divisors is an integer number (6215748).

Almost surely, 2^287130960 is an apocalyptic number.

287130960 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 287130960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (497259840).

287130960 is an abundant number, since it is smaller than the sum of its proper divisors (707388720).

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

287130960 is a wasteful number, since it uses less digits than its factorization.

287130960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 762 (or 750 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 287130960 is about 16944.9390674620. The cubic root of 287130960 is about 659.7205428460.

The spelling of 287130960 in words is "two hundred eighty-seven million, one hundred thirty thousand, nine hundred sixty".