671683200 has 384 divisors, whose sum is σ = 2383895040. Its totient is φ = 165888000.

The previous prime is 671683171. The next prime is 671683211. The reversal of 671683200 is 2386176.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 11011170 + ... + 11011230.

It is an arithmetic number, because the mean of its divisors is an integer number (6208060).

Almost surely, 2^671683200 is an apocalyptic number.

671683200 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 671683200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1191947520).

671683200 is an abundant number, since it is smaller than the sum of its proper divisors (1712211840).

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

671683200 is a wasteful number, since it uses less digits than its factorization.

671683200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 671683200 is about 25916.8516606474. The cubic root of 671683200 is about 875.7661643123.

The spelling of 671683200 in words is "six hundred seventy-one million, six hundred eighty-three thousand, two hundred".