868684800 has 132 divisors (see below), whose sum is σ = 2871302336. Its totient is φ = 231628800.

The previous prime is 868684793. The next prime is 868684811. The reversal of 868684800 is 8486868.

It is a super-2 number, since 2×868684800² = 1509226563502080000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 868684800.

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 11 ways as a sum of consecutive naturals, for example, 71145 + ... + 82455.

Almost surely, 2^868684800 is an apocalyptic number.

868684800 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 868684800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1435651168).

868684800 is an abundant number, since it is smaller than the sum of its proper divisors (2002617536).

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

868684800 is a wasteful number, since it uses less digits than its factorization.

868684800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11344 (or 11321 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 48.

The square root of 868684800 is about 29473.4592472618. The cubic root of 868684800 is about 954.1589774133.

The spelling of 868684800 in words is "eight hundred sixty-eight million, six hundred eighty-four thousand, eight hundred".