8427168 has 72 divisors (see below), whose sum is σ = 24815700. Its totient is φ = 2709504.

The previous prime is 8427163. The next prime is 8427173. The reversal of 8427168 is 8617248.

It is an interprime number because it is at equal distance from previous prime (8427163) and next prime (8427173).

It can be written as a sum of positive squares in 2 ways, for example, as 8363664 + 63504 = 2892^2 + 252^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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 (8427161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7848 + ... + 8856.

Almost surely, 2^8427168 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 8427168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12407850).

8427168 is an abundant number, since it is smaller than the sum of its proper divisors (16388532).

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

8427168 is a wasteful number, since it uses less digits than its factorization.

8427168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1054 (or 1043 counting only the distinct ones).

The product of its digits is 21504, while the sum is 36.

The square root of 8427168 is about 2902.9584909192. The cubic root of 8427168 is about 203.4981899317.

It can be divided in two parts, 842716 and 8, that added together give a square (842724 = 918²).

The spelling of 8427168 in words is "eight million, four hundred twenty-seven thousand, one hundred sixty-eight".