868735296 has 336 divisors, whose sum is σ = 2995574400. Its totient is φ = 237219840.

The previous prime is 868735279. The next prime is 868735297. The reversal of 868735296 is 692537868.

It is a happy number.

868735296 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (868735297) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4365405 + ... + 4365603.

It is an arithmetic number, because the mean of its divisors is an integer number (8915400).

Almost surely, 2^868735296 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 868735296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1497787200).

868735296 is an abundant number, since it is smaller than the sum of its proper divisors (2126839104).

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

868735296 is a wasteful number, since it uses less digits than its factorization.

868735296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294 (or 281 counting only the distinct ones).

The product of its digits is 4354560, while the sum is 54.

The square root of 868735296 is about 29474.3158699231. The cubic root of 868735296 is about 954.1774652384.

It can be divided in two parts, 868 and 735296, that added together give a square (736164 = 858²).

The spelling of 868735296 in words is "eight hundred sixty-eight million, seven hundred thirty-five thousand, two hundred ninety-six".