287603664 has 80 divisors (see below), whose sum is σ = 774765888. Its totient is φ = 91846656.

The previous prime is 287603633. The next prime is 287603681. The reversal of 287603664 is 466306782.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 117784 + ... + 120200.

Almost surely, 2^287603664 is an apocalyptic number.

287603664 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 287603664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (387382944).

287603664 is an abundant number, since it is smaller than the sum of its proper divisors (487162224).

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

287603664 is a wasteful number, since it uses less digits than its factorization.

287603664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2532 (or 2526 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 42.

The square root of 287603664 is about 16958.8815668959. The cubic root of 287603664 is about 660.0823772292.

The spelling of 287603664 in words is "two hundred eighty-seven million, six hundred three thousand, six hundred sixty-four".