671731200 has 720 divisors, whose sum is σ = 2968336800. Its totient is φ = 144506880.

The previous prime is 671731153. The next prime is 671731231. The reversal of 671731200 is 2137176.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 39513592 + ... + 39513608.

It is an arithmetic number, because the mean of its divisors is an integer number (4122690).

Almost surely, 2^671731200 is an apocalyptic number.

671731200 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 671731200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1484168400).

671731200 is an abundant number, since it is smaller than the sum of its proper divisors (2296605600).

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

671731200 is a wasteful number, since it uses less digits than its factorization.

671731200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 27.

The square root of 671731200 is about 25917.7776825097. Note that the first 3 decimals coincide. The cubic root of 671731200 is about 875.7870252254.

Adding to 671731200 its reverse (2137176), we get a palindrome (673868376).

The spelling of 671731200 in words is "six hundred seventy-one million, seven hundred thirty-one thousand, two hundred".