81068800 has 108 divisors (see below), whose sum is σ = 205299360. Its totient is φ = 31682560.

The previous prime is 81068789. The next prime is 81068857. The reversal of 81068800 is 886018.

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, 339081 + ... + 339319.

It is an arithmetic number, because the mean of its divisors is an integer number (1900920).

Almost surely, 2^81068800 is an apocalyptic number.

81068800 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 81068800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102649680).

81068800 is an abundant number, since it is smaller than the sum of its proper divisors (124230560).

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

81068800 is a wasteful number, since it uses less digits than its factorization.

81068800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 318 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 31.

The square root of 81068800 is about 9003.8214109344. The cubic root of 81068800 is about 432.7973386106.

The spelling of 81068800 in words is "eighty-one million, sixty-eight thousand, eight hundred".