671296000 has 160 divisors (see below), whose sum is σ = 1775256912. Its totient is φ = 252313600.

The previous prime is 671295991. The next prime is 671296013. The reversal of 671296000 is 692176.

It can be written as a sum of positive squares in 8 ways, for example, as 278784 + 671017216 = 528^2 + 25904^2 .

It is a tau number, because it is divible by the number of its divisors (160).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1087692 + ... + 1088308.

Almost surely, 2^671296000 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 671296000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (887628456).

671296000 is an abundant number, since it is smaller than the sum of its proper divisors (1103960912).

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

671296000 is an equidigital number, since it uses as much as digits as its factorization.

671296000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 667 (or 641 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 31.

The square root of 671296000 is about 25909.3805406459. The cubic root of 671296000 is about 875.5978499252.

The spelling of 671296000 in words is "six hundred seventy-one million, two hundred ninety-six thousand".