8348448 has 96 divisors (see below), whose sum is σ = 24192000. Its totient is φ = 2509056.

The previous prime is 8348443. The next prime is 8348477. The reversal of 8348448 is 8448438.

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct 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 (8348443) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41853 + ... + 42051.

It is an arithmetic number, because the mean of its divisors is an integer number (252000).

Almost surely, 2^8348448 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 8348448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12096000).

8348448 is an abundant number, since it is smaller than the sum of its proper divisors (15843552).

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

8348448 is a wasteful number, since it uses less digits than its factorization.

8348448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254 (or 246 counting only the distinct ones).

The product of its digits is 98304, while the sum is 39.

The square root of 8348448 is about 2889.3680970067. The cubic root of 8348448 is about 202.8625664281.

The spelling of 8348448 in words is "eight million, three hundred forty-eight thousand, four hundred forty-eight".