7929168 has 80 divisors (see below), whose sum is σ = 22456896. Its totient is φ = 2396160.

The previous prime is 7929167. The next prime is 7929197. The reversal of 7929168 is 8619297.

Its product of digits (54432) is a multiple of the sum of its prime factors (252).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7929167) 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 15 ways as a sum of consecutive naturals, for example, 60463 + ... + 60593.

Almost surely, 2^7929168 is an apocalyptic number.

7929168 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 7929168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11228448).

7929168 is an abundant number, since it is smaller than the sum of its proper divisors (14527728).

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

7929168 is a wasteful number, since it uses less digits than its factorization.

7929168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 246 counting only the distinct ones).

The product of its digits is 54432, while the sum is 42.

The square root of 7929168 is about 2815.8778382593. The cubic root of 7929168 is about 199.4079826397.

The spelling of 7929168 in words is "seven million, nine hundred twenty-nine thousand, one hundred sixty-eight".