68844800 has 108 divisors (see below), whose sum is σ = 176405376. Its totient is φ = 26572800.

The previous prime is 68844779. The next prime is 68844833. The reversal of 68844800 is 844886.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 198227 + ... + 198573.

Almost surely, 2^68844800 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 68844800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88202688).

68844800 is an abundant number, since it is smaller than the sum of its proper divisors (107560576).

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

68844800 is a wasteful number, since it uses less digits than its factorization.

68844800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 404 (or 385 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 38.

The square root of 68844800 is about 8297.2766616523. The cubic root of 68844800 is about 409.8488437441.

The spelling of 68844800 in words is "sixty-eight million, eight hundred forty-four thousand, eight hundred".