868095360 has 256 divisors, whose sum is σ = 3354739200. Its totient is φ = 210401280.

The previous prime is 868095353. The next prime is 868095373. The reversal of 868095360 is 63590868.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 187797 + ... + 192363.

It is an arithmetic number, because the mean of its divisors is an integer number (13104450).

Almost surely, 2^868095360 is an apocalyptic number.

868095360 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 868095360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1677369600).

868095360 is an abundant number, since it is smaller than the sum of its proper divisors (2486643840).

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

868095360 is a wasteful number, since it uses less digits than its factorization.

868095360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4606 (or 4588 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 868095360 is about 29463.4580455180. The cubic root of 868095360 is about 953.9431159469.

The spelling of 868095360 in words is "eight hundred sixty-eight million, ninety-five thousand, three hundred sixty".