8168640 has 112 divisors (see below), whose sum is σ = 26529792. Its totient is φ = 2128896.

The previous prime is 8168623. The next prime is 8168669. The reversal of 8168640 is 468618.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 64257 + ... + 64383.

Almost surely, 2^8168640 is an apocalyptic number.

8168640 is a gapful number since it is divisible by the number (80) 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 8168640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13264896).

8168640 is an abundant number, since it is smaller than the sum of its proper divisors (18361152).

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

8168640 is a wasteful number, since it uses less digits than its factorization.

8168640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 8168640 is about 2858.0832738043. The cubic root of 8168640 is about 201.3955725689.

The spelling of 8168640 in words is "eight million, one hundred sixty-eight thousand, six hundred forty".