68816800 has 108 divisors (see below), whose sum is σ = 182273490. Its totient is φ = 25359360.

The previous prime is 68816779. The next prime is 68816801. The reversal of 68816800 is 861886.

It can be written as a sum of positive squares in 9 ways, for example, as 59536 + 68757264 = 244^2 + 8292^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 68816800.

It is not an unprimeable number, because it can be changed into a prime (68816801) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 134946 + ... + 135454.

Almost surely, 2^68816800 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 68816800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91136745).

68816800 is an abundant number, since it is smaller than the sum of its proper divisors (113456690).

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

68816800 is a wasteful number, since it uses less digits than its factorization.

68816800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 555 (or 529 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 37.

The square root of 68816800 is about 8295.5891894428. The cubic root of 68816800 is about 409.7932727411.

The spelling of 68816800 in words is "sixty-eight million, eight hundred sixteen thousand, eight hundred".