868005120 has 144 divisors (see below), whose sum is σ = 2918341440. Its totient is φ = 219267072.

The previous prime is 868005037. The next prime is 868005143. The reversal of 868005120 is 21500868.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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, 67012 + ... + 78908.

It is an arithmetic number, because the mean of its divisors is an integer number (20266260).

Almost surely, 2^868005120 is an apocalyptic number.

868005120 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 868005120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1459170720).

868005120 is an abundant number, since it is smaller than the sum of its proper divisors (2050336320).

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

868005120 is a wasteful number, since it uses less digits than its factorization.

868005120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11940 (or 11926 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 30.

The square root of 868005120 is about 29461.9266172462. The cubic root of 868005120 is about 953.9100601277.

Adding to 868005120 its reverse (21500868), we get a palindrome (889505988).

The spelling of 868005120 in words is "eight hundred sixty-eight million, five thousand, one hundred twenty".