671976000 has 560 divisors, whose sum is σ = 2675333232. Its totient is φ = 165888000.

The previous prime is 671975989. The next prime is 671976001. The reversal of 671976000 is 679176.

It can be written as a sum of positive squares in 8 ways, for example, as 318836736 + 353139264 = 17856^2 + 18792^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (671976001) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 11015970 + ... + 11016030.

Almost surely, 2^671976000 is an apocalyptic number.

671976000 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 671976000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1337666616).

671976000 is an abundant number, since it is smaller than the sum of its proper divisors (2003357232).

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

671976000 is a wasteful number, since it uses less digits than its factorization.

671976000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 15876, while the sum is 36.

The square root of 671976000 is about 25922.4998794484. The cubic root of 671976000 is about 875.8934004269.

The spelling of 671976000 in words is "six hundred seventy-one million, nine hundred seventy-six thousand".