8668000 has 96 divisors (see below), whose sum is σ = 23351328. Its totient is φ = 3136000.

The previous prime is 8667979. The next prime is 8668001. The reversal of 8668000 is 8668.

It is a self number, because there is not a number n which added to its sum of digits gives 8668000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8668001) 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 15 ways as a sum of consecutive naturals, for example, 43902 + ... + 44098.

It is an arithmetic number, because the mean of its divisors is an integer number (243243).

Almost surely, 2^8668000 is an apocalyptic number.

8668000 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 8668000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11675664).

8668000 is an abundant number, since it is smaller than the sum of its proper divisors (14683328).

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

8668000 is a wasteful number, since it uses less digits than its factorization.

8668000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 28.

The square root of 8668000 is about 2944.1467354736. The cubic root of 8668000 is about 205.4185381287.

8668000 divided by its reverse (8668) gives a cube (1000 = 10³).

It can be divided in two parts, 86 and 68000, that added together give a palindrome (68086).

The spelling of 8668000 in words is "eight million, six hundred sixty-eight thousand".