68428800 has 396 divisors, whose sum is σ = 277180176. Its totient is φ = 16588800.

The previous prime is 68428793. The next prime is 68428819. The reversal of 68428800 is 882486.

It is a tau number, because it is divible by the number of its divisors (396).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 6220795 + ... + 6220805.

Almost surely, 2^68428800 is an apocalyptic number.

68428800 is a gapful number since it is divisible by the number (60) 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 68428800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138590088).

68428800 is an abundant number, since it is smaller than the sum of its proper divisors (208751376).

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

68428800 is a wasteful number, since it uses less digits than its factorization.

68428800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 68428800 is about 8272.1702110148. The cubic root of 68428800 is about 409.0216610061.

The spelling of 68428800 in words is "sixty-eight million, four hundred twenty-eight thousand, eight hundred".