287961000 has 64 divisors (see below), whose sum is σ = 898447680. Its totient is φ = 76788800.

The previous prime is 287960993. The next prime is 287961001. The reversal of 287961000 is 169782.

It is not an unprimeable number, because it can be changed into a prime (287961001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44994 + ... + 50993.

It is an arithmetic number, because the mean of its divisors is an integer number (14038245).

Almost surely, 2^287961000 is an apocalyptic number.

287961000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

287961000 is an abundant number, since it is smaller than the sum of its proper divisors (610486680).

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

287961000 is a wasteful number, since it uses less digits than its factorization.

287961000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96011 (or 95997 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 33.

The square root of 287961000 is about 16969.4136610550. The cubic root of 287961000 is about 660.3556393678.

The spelling of 287961000 in words is "two hundred eighty-seven million, nine hundred sixty-one thousand".