671360000 has 110 divisors (see below), whose sum is σ = 1678642350. Its totient is φ = 268288000.

The previous prime is 671359981. The next prime is 671360059. The reversal of 671360000 is 63176.

671360000 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 5 ways, for example, as 121176064 + 550183936 = 11008^2 + 23456^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 639476 + ... + 640524.

It is an arithmetic number, because the mean of its divisors is an integer number (15260385).

Almost surely, 2^671360000 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 671360000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (839321175).

671360000 is an abundant number, since it is smaller than the sum of its proper divisors (1007282350).

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

671360000 is an equidigital number, since it uses as much as digits as its factorization.

671360000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1089 (or 1056 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 23.

The square root of 671360000 is about 25910.6155851226. The cubic root of 671360000 is about 875.6256749490.

The spelling of 671360000 in words is "six hundred seventy-one million, three hundred sixty thousand".