7663248 has 90 divisors (see below), whose sum is σ = 22575254. Its totient is φ = 2519424.

The previous prime is 7663241. The next prime is 7663261. The reversal of 7663248 is 8423667.

7663248 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 6718464 + 944784 = 2592^2 + 972^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (7663241) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 104940 + ... + 105012.

Almost surely, 2^7663248 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 7663248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11287627).

7663248 is an abundant number, since it is smaller than the sum of its proper divisors (14912006).

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

7663248 is an frugal number, since it uses more digits than its factorization.

7663248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 78 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 7663248 is about 2768.2572134829. The cubic root of 7663248 is about 197.1534101831.

The spelling of 7663248 in words is "seven million, six hundred sixty-three thousand, two hundred forty-eight".