1268448 has 48 divisors (see below), whose sum is σ = 3393936. Its totient is φ = 414720.

The previous prime is 1268447. The next prime is 1268453. The reversal of 1268448 is 8448621.

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

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

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 (1268447) 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, 6918 + ... + 7098.

It is an arithmetic number, because the mean of its divisors is an integer number (70707).

2^1268448 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 1268448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1696968).

1268448 is an abundant number, since it is smaller than the sum of its proper divisors (2125488).

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

1268448 is a wasteful number, since it uses less digits than its factorization.

1268448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 267 (or 259 counting only the distinct ones).

The product of its digits is 12288, while the sum is 33.

The square root of 1268448 is about 1126.2539678066. The cubic root of 1268448 is about 108.2490821606.

The spelling of 1268448 in words is "one million, two hundred sixty-eight thousand, four hundred forty-eight".