868815360 has 240 divisors, whose sum is σ = 3439440576. Its totient is φ = 198549504.

The previous prime is 868815349. The next prime is 868815361. The reversal of 868815360 is 63518868.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (868815361) 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, 158587 + ... + 163973.

Almost surely, 2^868815360 is an apocalyptic number.

868815360 is a gapful number since it is divisible by the number (80) 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 868815360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1719720288).

868815360 is an abundant number, since it is smaller than the sum of its proper divisors (2570625216).

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

868815360 is a wasteful number, since it uses less digits than its factorization.

868815360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5423 (or 5404 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The square root of 868815360 is about 29475.6740380945. The cubic root of 868815360 is about 954.2067771658.

The spelling of 868815360 in words is "eight hundred sixty-eight million, eight hundred fifteen thousand, three hundred sixty".