671889900 has 144 divisors (see below), whose sum is σ = 2143612800. Its totient is φ = 161126400.

The previous prime is 671889899. The next prime is 671889937. The reversal of 671889900 is 9988176.

It is a happy number.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 671889900.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 319051 + ... + 321149.

It is an arithmetic number, because the mean of its divisors is an integer number (14886200).

Almost surely, 2^671889900 is an apocalyptic number.

671889900 is a gapful number since it is divisible by the number (60) 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 671889900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1071806400).

671889900 is an abundant number, since it is smaller than the sum of its proper divisors (1471722900).

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

671889900 is a wasteful number, since it uses less digits than its factorization.

671889900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2224 (or 2217 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 48.

The square root of 671889900 is about 25920.8391067882. The cubic root of 671889900 is about 875.8559895457.

The spelling of 671889900 in words is "six hundred seventy-one million, eight hundred eighty-nine thousand, nine hundred".