68448000 has 288 divisors, whose sum is σ = 244887552. Its totient is φ = 16896000.

The previous prime is 68447999. The next prime is 68448011. The reversal of 68448000 is 84486.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2207985 + ... + 2208015.

It is an arithmetic number, because the mean of its divisors is an integer number (850304).

Almost surely, 2^68448000 is an apocalyptic number.

68448000 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 68448000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122443776).

68448000 is an abundant number, since it is smaller than the sum of its proper divisors (176439552).

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

68448000 is a wasteful number, since it uses less digits than its factorization.

68448000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The square root of 68448000 is about 8273.3306473270. The cubic root of 68448000 is about 409.0599123540.

It can be divided in two parts, 684 and 48000, that added together give a palindrome (48684).

The spelling of 68448000 in words is "sixty-eight million, four hundred forty-eight thousand".