68088800 has 72 divisors (see below), whose sum is σ = 179035416. Its totient is φ = 25136640.

The previous prime is 68088793. The next prime is 68088833. The reversal of 68088800 is 888086.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7127 + ... + 13673.

It is an arithmetic number, because the mean of its divisors is an integer number (2486603).

Almost surely, 2^68088800 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 68088800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89517708).

68088800 is an abundant number, since it is smaller than the sum of its proper divisors (110946616).

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

68088800 is a wasteful number, since it uses less digits than its factorization.

68088800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6580 (or 6567 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 38.

The square root of 68088800 is about 8251.5937854453. The cubic root of 68088800 is about 408.3431049538.

The spelling of 68088800 in words is "sixty-eight million, eighty-eight thousand, eight hundred".