868676000 has 48 divisors (see below), whose sum is σ = 2134346760. Its totient is φ = 347468800.

The previous prime is 868675993. The next prime is 868676009. The reversal of 868676000 is 676868.

868676000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 194546704 + 674129296 = 13948^2 + 25964^2 .

It is not an unprimeable number, because it can be changed into a prime (868676009) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 104585 + ... + 112584.

Almost surely, 2^868676000 is an apocalyptic number.

868676000 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

868676000 is an abundant number, since it is smaller than the sum of its proper divisors (1265670760).

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

868676000 is a wasteful number, since it uses less digits than its factorization.

868676000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217194 (or 217176 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 41.

The square root of 868676000 is about 29473.3099600299. The cubic root of 868676000 is about 954.1557554439.

The spelling of 868676000 in words is "eight hundred sixty-eight million, six hundred seventy-six thousand".