68968800 has 288 divisors, whose sum is σ = 259983360. Its totient is φ = 17625600.

The previous prime is 68968799. The next prime is 68968811. The reversal of 68968800 is 886986.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 669549 + ... + 669651.

It is an arithmetic number, because the mean of its divisors is an integer number (902720).

Almost surely, 2^68968800 is an apocalyptic number.

68968800 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 68968800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129991680).

68968800 is an abundant number, since it is smaller than the sum of its proper divisors (191014560).

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

68968800 is a wasteful number, since it uses less digits than its factorization.

68968800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The square root of 68968800 is about 8304.7456312641. The cubic root of 68968800 is about 410.0947629461.

The spelling of 68968800 in words is "sixty-eight million, nine hundred sixty-eight thousand, eight hundred".