968448 has 72 divisors (see below), whose sum is σ = 2804368. Its totient is φ = 294912.

The previous prime is 968437. The next prime is 968459. The reversal of 968448 is 844869.

It is an interprime number because it is at equal distance from previous prime (968437) and next prime (968459).

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a nialpdrome in base 16.

It is a congruent number.

It is an unprimeable number.

968448 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9936 + ... + 10032.

2⁹⁶⁸⁴⁴⁸ 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 968448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1402184).

968448 is an abundant number, since it is smaller than the sum of its proper divisors (1835920).

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

968448 is a wasteful number, since it uses less digits than its factorization.

968448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 115 counting only the distinct ones).

The product of its digits is 55296, while the sum is 39.

The square root of 968448 is about 984.0975561396. The cubic root of 968448 is about 98.9370071668.

The spelling of 968448 in words is "nine hundred sixty-eight thousand, four hundred forty-eight".