868680000 has 420 divisors, whose sum is σ = 3300943360. Its totient is φ = 217728000.

The previous prime is 868679899. The next prime is 868680013. The reversal of 868680000 is 86868.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 59 ways as a sum of consecutive naturals, for example, 6839937 + ... + 6840063.

Almost surely, 2^868680000 is an apocalyptic number.

868680000 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 868680000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1650471680).

868680000 is an abundant number, since it is smaller than the sum of its proper divisors (2432263360).

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

868680000 is a wasteful number, since it uses less digits than its factorization.

868680000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 868680000 is about 29473.3778179563. The cubic root of 868680000 is about 954.1572199781.

Multiplying 868680000 by its reverse (86868), we get a square (75460494240000 = 8686800²).

868680000 divided by its reverse (86868) gives a 4-th power (10000 = 10⁴).

The spelling of 868680000 in words is "eight hundred sixty-eight million, six hundred eighty thousand".