68448 has 48 divisors (see below), whose sum is σ = 193536. Its totient is φ = 21120.

The previous prime is 68447. The next prime is 68449. The reversal of 68448 is 84486.

It is an interprime number because it is at equal distance from previous prime (68447) and next prime (68449).

It is a tau number, because it is divible by the number of its divisors (48).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68443) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2193 + ... + 2223.

It is an arithmetic number, because the mean of its divisors is an integer number (4032).

2⁶⁸⁴⁴⁸ 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 68448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96768).

68448 is an abundant number, since it is smaller than the sum of its proper divisors (125088).

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

68448 is a wasteful number, since it uses less digits than its factorization.

68448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67 (or 59 counting only the distinct ones).

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

The square root of 68448 is about 261.6256868123. The cubic root of 68448 is about 40.9059912354.

The spelling of 68448 in words is "sixty-eight thousand, four hundred forty-eight".