7923168 has 144 divisors (see below), whose sum is σ = 25592112. Its totient is φ = 2304000.

The previous prime is 7923161. The next prime is 7923187. The reversal of 7923168 is 8613297.

7923168 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a d-powerful number, because it can be written as 7⁸ + 9² + 2¹¹ + 3¹⁰ + 1 + 6² + 8⁷ .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7923161) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 129858 + ... + 129918.

It is an arithmetic number, because the mean of its divisors is an integer number (177723).

Almost surely, 2^7923168 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 7923168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12796056).

7923168 is an abundant number, since it is smaller than the sum of its proper divisors (17668944).

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

7923168 is a wasteful number, since it uses less digits than its factorization.

7923168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 118 counting only the distinct ones).

The product of its digits is 18144, while the sum is 36.

The square root of 7923168 is about 2814.8122495115. The cubic root of 7923168 is about 199.3576726195.

It can be divided in two parts, 792 and 3168, that multiplied together give a square (2509056 = 1584²).

The spelling of 7923168 in words is "seven million, nine hundred twenty-three thousand, one hundred sixty-eight".