8007168 has 80 divisors (see below), whose sum is σ = 23029776. Its totient is φ = 2457600.

The previous prime is 8007143. The next prime is 8007173. The reversal of 8007168 is 8617008.

It is a super-2 number, since 2×8007168² = 128229478760448, which contains 22 as substring.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19768 + ... + 20168.

Almost surely, 2^8007168 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 8007168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11514888).

8007168 is an abundant number, since it is smaller than the sum of its proper divisors (15022608).

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

8007168 is a wasteful number, since it uses less digits than its factorization.

8007168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 435 (or 419 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 30.

The square root of 8007168 is about 2829.6939763868. The cubic root of 8007168 is about 200.0597155019.

The spelling of 8007168 in words is "eight million, seven thousand, one hundred sixty-eight".