287201160 has 128 divisors (see below), whose sum is σ = 961113600. Its totient is φ = 76285440.

The previous prime is 287201147. The next prime is 287201191. The reversal of 287201160 is 61102782.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 465172 + ... + 465788.

It is an arithmetic number, because the mean of its divisors is an integer number (7508700).

Almost surely, 2^287201160 is an apocalyptic number.

287201160 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 287201160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (480556800).

287201160 is an abundant number, since it is smaller than the sum of its proper divisors (673912440).

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

287201160 is a wasteful number, since it uses less digits than its factorization.

287201160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1068 (or 1058 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 287201160 is about 16947.0103558120. The cubic root of 287201160 is about 659.7743029936.

The spelling of 287201160 in words is "two hundred eighty-seven million, two hundred one thousand, one hundred sixty".