8668084000 has 48 divisors (see below), whose sum is σ = 21297492216. Its totient is φ = 3467232000.

The previous prime is 8668083997. The next prime is 8668084081. The reversal of 8668084000 is 4808668.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 370331536 + 8297752464 = 19244^2 + 91092^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

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, 1079511 + ... + 1087510.

Almost surely, 2^8668084000 is an apocalyptic number.

8668084000 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

8668084000 is an abundant number, since it is smaller than the sum of its proper divisors (12629408216).

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

8668084000 is a wasteful number, since it uses less digits than its factorization.

8668084000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2167046 (or 2167028 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 40.

The square root of 8668084000 is about 93102.5456150368. The cubic root of 8668084000 is about 2054.1920168433.

The spelling of 8668084000 in words is "eight billion, six hundred sixty-eight million, eighty-four thousand".