6868800 has 210 divisors, whose sum is σ = 25724358. Its totient is φ = 1797120.

The previous prime is 6868781. The next prime is 6868801. The reversal of 6868800 is 88686.

It can be written as a sum of positive squares in 3 ways, for example, as 876096 + 5992704 = 936^2 + 2448^2 .

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

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6868801) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 129574 + ... + 129626.

Almost surely, 2^6868800 is an apocalyptic number.

6868800 is a gapful number since it is divisible by the number (60) 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 6868800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12862179).

6868800 is an abundant number, since it is smaller than the sum of its proper divisors (18855558).

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

6868800 is a wasteful number, since it uses less digits than its factorization.

6868800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 63 counting only the distinct ones).

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

The square root of 6868800 is about 2620.8395601410. The cubic root of 6868800 is about 190.0904463191.

The spelling of 6868800 in words is "six million, eight hundred sixty-eight thousand, eight hundred".