68028800 has 96 divisors (see below), whose sum is σ = 192123120. Its totient is φ = 23316480.

The previous prime is 68028791. The next prime is 68028803. The reversal of 68028800 is 882086.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68028803) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20882 + ... + 23918.

Almost surely, 2^68028800 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 68028800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96061560).

68028800 is an abundant number, since it is smaller than the sum of its proper divisors (124094320).

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

68028800 is a wasteful number, since it uses less digits than its factorization.

68028800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3068 (or 3051 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 32.

The square root of 68028800 is about 8247.9573228770. The cubic root of 68028800 is about 408.2231254247.

The spelling of 68028800 in words is "sixty-eight million, twenty-eight thousand, eight hundred".