671328000 has 720 divisors, whose sum is σ = 2932273344. Its totient is φ = 149299200.

The previous prime is 671327983. The next prime is 671328067. The reversal of 671328000 is 823176.

It is a tau number, because it is divible by the number of its divisors (720).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 18143982 + ... + 18144018.

Almost surely, 2^671328000 is an apocalyptic number.

671328000 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 671328000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1466136672).

671328000 is an abundant number, since it is smaller than the sum of its proper divisors (2260945344).

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

671328000 is an equidigital number, since it uses as much as digits as its factorization.

671328000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 671328000 is about 25909.9980702431. The cubic root of 671328000 is about 875.6117626582.

The spelling of 671328000 in words is "six hundred seventy-one million, three hundred twenty-eight thousand".