68096000 has 208 divisors, whose sum is σ = 204447360. Its totient is φ = 22118400.

The previous prime is 68095921. The next prime is 68096011. The reversal of 68096000 is 69086.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3583991 + ... + 3584009.

It is an arithmetic number, because the mean of its divisors is an integer number (982920).

Almost surely, 2^68096000 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 68096000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102223680).

68096000 is an abundant number, since it is smaller than the sum of its proper divisors (136351360).

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

68096000 is an equidigital number, since it uses as much as digits as its factorization.

68096000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65 (or 33 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 29.

The square root of 68096000 is about 8252.0300532657. The cubic root of 68096000 is about 408.3574977601.

The spelling of 68096000 in words is "sixty-eight million, ninety-six thousand".