68256000 has 288 divisors, whose sum is σ = 255091200. Its totient is φ = 17971200.

The previous prime is 68255989. The next prime is 68256029. The reversal of 68256000 is 65286.

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 (27).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 863961 + ... + 864039.

Almost surely, 2^68256000 is an apocalyptic number.

68256000 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 68256000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127545600).

68256000 is an abundant number, since it is smaller than the sum of its proper divisors (186835200).

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

68256000 is an equidigital number, since it uses as much as digits as its factorization.

68256000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 68256000 is about 8261.7189494681. The cubic root of 68256000 is about 408.6770764613.

The spelling of 68256000 in words is "sixty-eight million, two hundred fifty-six thousand".