668448 has 72 divisors (see below), whose sum is σ = 2083536. Its totient is φ = 201600.

The previous prime is 668417. The next prime is 668471. The reversal of 668448 is 844866.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a nialpdrome in base 16.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3063 + ... + 3273.

It is an arithmetic number, because the mean of its divisors is an integer number (28938).

2⁶⁶⁸⁴⁴⁸ 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 668448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1041768).

668448 is an abundant number, since it is smaller than the sum of its proper divisors (1415088).

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

668448 is a wasteful number, since it uses less digits than its factorization.

668448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238 (or 227 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

The square root of 668448 is about 817.5866926510. The cubic root of 668448 is about 87.4357841764.

The spelling of 668448 in words is "six hundred sixty-eight thousand, four hundred forty-eight".