868395520 has 80 divisors (see below), whose sum is σ = 2099294208. Its totient is φ = 344494080.

The previous prime is 868395497. The next prime is 868395523. The reversal of 868395520 is 25593868.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×868395520² = 1508221558312140800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (868395523) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 323785 + ... + 326455.

Almost surely, 2^868395520 is an apocalyptic number.

868395520 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 868395520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1049647104).

868395520 is an abundant number, since it is smaller than the sum of its proper divisors (1230898688).

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

868395520 is a wasteful number, since it uses less digits than its factorization.

868395520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2821 (or 2805 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 46.

The square root of 868395520 is about 29468.5513726074. The cubic root of 868395520 is about 954.0530510927.

The spelling of 868395520 in words is "eight hundred sixty-eight million, three hundred ninety-five thousand, five hundred twenty".