287670240 has 432 divisors, whose sum is σ = 1171183104. Its totient is φ = 63866880.

The previous prime is 287670239. The next prime is 287670247. The reversal of 287670240 is 42076782.

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

It is a junction number, because it is equal to n+sod(n) for n = 287670195 and 287670204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (287670247) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2265057 + ... + 2265183.

It is an arithmetic number, because the mean of its divisors is an integer number (2711072).

Almost surely, 2^287670240 is an apocalyptic number.

287670240 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 287670240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (585591552).

287670240 is an abundant number, since it is smaller than the sum of its proper divisors (883512864).

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

287670240 is a wasteful number, since it uses less digits than its factorization.

287670240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 287670240 is about 16960.8443186063. The cubic root of 287670240 is about 660.1333064064.

The spelling of 287670240 in words is "two hundred eighty-seven million, six hundred seventy thousand, two hundred forty".