7948668 has 96 divisors (see below), whose sum is σ = 23708160. Its totient is φ = 2016000.

The previous prime is 7948667. The next prime is 7948691. The reversal of 7948668 is 8668497.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7948667) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31543 + ... + 31793.

It is an arithmetic number, because the mean of its divisors is an integer number (246960).

Almost surely, 2^7948668 is an apocalyptic number.

7948668 is a gapful number since it is divisible by the number (78) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7948668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11854080).

7948668 is an abundant number, since it is smaller than the sum of its proper divisors (15759492).

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

7948668 is a wasteful number, since it uses less digits than its factorization.

7948668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 307 (or 305 counting only the distinct ones).

The product of its digits is 580608, while the sum is 48.

The square root of 7948668 is about 2819.3382202212. The cubic root of 7948668 is about 199.5713151363.

The spelling of 7948668 in words is "seven million, nine hundred forty-eight thousand, six hundred sixty-eight".