7868448 has 96 divisors (see below), whose sum is σ = 26248320. Its totient is φ = 2246400.

The previous prime is 7868447. The next prime is 7868449. The reversal of 7868448 is 8448687.

It is an interprime number because it is at equal distance from previous prime (7868447) and next prime (7868449).

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

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

It is not an unprimeable number, because it can be changed into a prime (7868447) 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, 5398 + ... + 6698.

It is an arithmetic number, because the mean of its divisors is an integer number (273420).

Almost surely, 2^7868448 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 7868448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13124160).

7868448 is an abundant number, since it is smaller than the sum of its proper divisors (18379872).

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

7868448 is a wasteful number, since it uses less digits than its factorization.

7868448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1327 (or 1313 counting only the distinct ones).

The product of its digits is 344064, while the sum is 45.

The square root of 7868448 is about 2805.0754000561. The cubic root of 7868448 is about 198.8976688256.

The spelling of 7868448 in words is "seven million, eight hundred sixty-eight thousand, four hundred forty-eight".