68940800 has 66 divisors (see below), whose sum is σ = 170953158. Its totient is φ = 27566080.

The previous prime is 68940799. The next prime is 68940847. The reversal of 68940800 is 804986.

It can be written as a sum of positive squares in 3 ways, for example, as 2876416 + 66064384 = 1696^2 + 8128^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 24254 + ... + 26946.

Almost surely, 2^68940800 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68940800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85476579).

68940800 is an abundant number, since it is smaller than the sum of its proper divisors (102012358).

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

68940800 is a wasteful number, since it uses less digits than its factorization.

68940800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2723 (or 2700 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 35.

The square root of 68940800 is about 8303.0596770106. The cubic root of 68940800 is about 410.0392585846.

The spelling of 68940800 in words is "sixty-eight million, nine hundred forty thousand, eight hundred".