287696864 has 96 divisors (see below), whose sum is σ = 719824896. Its totient is φ = 110108160.

The previous prime is 287696821. The next prime is 287696873. The reversal of 287696864 is 468696782.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 88679 + ... + 91865.

It is an arithmetic number, because the mean of its divisors is an integer number (7498176).

Almost surely, 2^287696864 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 287696864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (359912448).

287696864 is an abundant number, since it is smaller than the sum of its proper divisors (432128032).

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

287696864 is a wasteful number, since it uses less digits than its factorization.

287696864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3248 (or 3240 counting only the distinct ones).

The product of its digits is 6967296, while the sum is 56.

The square root of 287696864 is about 16961.6291670346. The cubic root of 287696864 is about 660.1536709819.

The spelling of 287696864 in words is "two hundred eighty-seven million, six hundred ninety-six thousand, eight hundred sixty-four".