7929648 has 60 divisors (see below), whose sum is σ = 22632480. Its totient is φ = 2590848.

The previous prime is 7929643. The next prime is 7929683. The reversal of 7929648 is 8469297.

It is a happy number.

It is a zygodrome in base 2.

It is not an unprimeable number, because it can be changed into a prime (7929643) 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, 7113 + ... + 8151.

It is an arithmetic number, because the mean of its divisors is an integer number (377208).

Almost surely, 2^7929648 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 7929648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11316240).

7929648 is an abundant number, since it is smaller than the sum of its proper divisors (14702832).

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

7929648 is a wasteful number, since it uses less digits than its factorization.

7929648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1106 (or 1097 counting only the distinct ones).

The product of its digits is 217728, while the sum is 45.

The square root of 7929648 is about 2815.9630679396. The cubic root of 7929648 is about 199.4120063447.

It can be divided in two parts, 792 and 9648, that added together give a triangular number (10440 = T₁₄₄).

The spelling of 7929648 in words is "seven million, nine hundred twenty-nine thousand, six hundred forty-eight".