288086664 has 96 divisors (see below), whose sum is σ = 779617440. Its totient is φ = 88646400.

The previous prime is 288086663. The next prime is 288086719. The reversal of 288086664 is 466680882.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (288086663) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 354819 + ... + 355629.

It is an arithmetic number, because the mean of its divisors is an integer number (8121015).

Almost surely, 2^288086664 is an apocalyptic number.

288086664 is a gapful number since it is divisible by the number (24) 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 288086664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (389808720).

288086664 is an abundant number, since it is smaller than the sum of its proper divisors (491530776).

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

288086664 is a wasteful number, since it uses less digits than its factorization.

288086664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 899 (or 876 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 48.

The square root of 288086664 is about 16973.1159190056. The cubic root of 288086664 is about 660.4516834652.

The spelling of 288086664 in words is "two hundred eighty-eight million, eighty-six thousand, six hundred sixty-four".