287334864 has 120 divisors (see below), whose sum is σ = 840071232. Its totient is φ = 95074560.

The previous prime is 287334863. The next prime is 287334869. The reversal of 287334864 is 468433782.

It is a super-2 number, since 2×287334864² = 165122648139796992, which contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (287334863) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1022404 + ... + 1022684.

Almost surely, 2^287334864 is an apocalyptic number.

287334864 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 287334864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (420035616).

287334864 is an abundant number, since it is smaller than the sum of its proper divisors (552736368).

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

287334864 is a wasteful number, since it uses less digits than its factorization.

287334864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 567 (or 549 counting only the distinct ones).

The product of its digits is 774144, while the sum is 45.

The square root of 287334864 is about 16950.9546633811. The cubic root of 287334864 is about 659.8766711709.

The spelling of 287334864 in words is "two hundred eighty-seven million, three hundred thirty-four thousand, eight hundred sixty-four".