287145664 has 56 divisors (see below), whose sum is σ = 616397040. Its totient is φ = 131933184.

The previous prime is 287145659. The next prime is 287145697. The reversal of 287145664 is 466541782.

287145664 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 287145664.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 223167 + ... + 224449.

It is an arithmetic number, because the mean of its divisors is an integer number (11007090).

Almost surely, 2^287145664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 287145664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308198520).

287145664 is an abundant number, since it is smaller than the sum of its proper divisors (329251376).

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

287145664 is a wasteful number, since it uses less digits than its factorization.

287145664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1577 (or 1567 counting only the distinct ones).

The product of its digits is 322560, while the sum is 43.

The square root of 287145664 is about 16945.3729377668. The cubic root of 287145664 is about 659.7318041015.

The spelling of 287145664 in words is "two hundred eighty-seven million, one hundred forty-five thousand, six hundred sixty-four".