868243968 has 160 divisors (see below), whose sum is σ = 2591709120. Its totient is φ = 286986240.

The previous prime is 868243919. The next prime is 868244023. The reversal of 868243968 is 869342868.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

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, 2501971 + ... + 2502317.

It is an arithmetic number, because the mean of its divisors is an integer number (16198182).

Almost surely, 2^868243968 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 868243968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1295854560).

868243968 is an abundant number, since it is smaller than the sum of its proper divisors (1723465152).

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

868243968 is a wasteful number, since it uses less digits than its factorization.

868243968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 555 (or 533 counting only the distinct ones).

The product of its digits is 3981312, while the sum is 54.

The square root of 868243968 is about 29465.9798411660. The cubic root of 868243968 is about 953.9975475591.

It can be divided in two parts, 8682 and 43968, that added together give a triangular number (52650 = T₃₂₄).

The spelling of 868243968 in words is "eight hundred sixty-eight million, two hundred forty-three thousand, nine hundred sixty-eight".