287663616 has 80 divisors (see below), whose sum is σ = 851545200. Its totient is φ = 95883264.

The previous prime is 287663611. The next prime is 287663639. The reversal of 287663616 is 616366782.

287663616 is a `hidden beast` number, since 2 + 8 + 7 + 6 + 636 + 1 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (287663611) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3420 + ... + 24228.

It is an arithmetic number, because the mean of its divisors is an integer number (10644315).

Almost surely, 2^287663616 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 287663616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (425772600).

287663616 is an abundant number, since it is smaller than the sum of its proper divisors (563881584).

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

287663616 is an equidigital number, since it uses as much as digits as its factorization.

287663616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20836 (or 20814 counting only the distinct ones).

The product of its digits is 435456, while the sum is 45.

The square root of 287663616 is about 16960.6490441846. The cubic root of 287663616 is about 660.1282395440.

The spelling of 287663616 in words is "two hundred eighty-seven million, six hundred sixty-three thousand, six hundred sixteen".