7688448 has 108 divisors (see below), whose sum is σ = 22958208. Its totient is φ = 2472960.

The previous prime is 7688431. The next prime is 7688449. The reversal of 7688448 is 8448867.

It is a super-2 number, since 2×7688448² = 118224465297408, which contains 22 as substring.

7688448 is a modest number, since divided by 8448 gives 768 as remainder.

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (7688449) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 108253 + ... + 108323.

It is an arithmetic number, because the mean of its divisors is an integer number (212576).

Almost surely, 2^7688448 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 7688448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11479104).

7688448 is an abundant number, since it is smaller than the sum of its proper divisors (15269760).

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

7688448 is a wasteful number, since it uses less digits than its factorization.

7688448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 123 counting only the distinct ones).

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

The square root of 7688448 is about 2772.8050778949. The cubic root of 7688448 is about 197.3692816580.

It can be divided in two parts, 768 and 8448, that added together give a square (9216 = 96²).

The spelling of 7688448 in words is "seven million, six hundred eighty-eight thousand, four hundred forty-eight".