671263120 has 80 divisors (see below), whose sum is σ = 1710515520. Its totient is φ = 242956800.

The previous prime is 671263097. The next prime is 671263121. The reversal of 671263120 is 21362176.

671263120 is a nontrivial binomial coefficient, being equal to C(36641, 2).

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (671263121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 199855 + ... + 203185.

It is an arithmetic number, because the mean of its divisors is an integer number (21381444).

Almost surely, 2^671263120 is an apocalyptic number.

671263120 is the 36640-th triangular number.

671263120 is the 12214-th centered nonagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 671263120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (855257760).

671263120 is an abundant number, since it is smaller than the sum of its proper divisors (1039252400).

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

671263120 is a wasteful number, since it uses less digits than its factorization.

671263120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3584 (or 3578 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 28.

The square root of 671263120 is about 25908.7460136534. The cubic root of 671263120 is about 875.5835541315.

The spelling of 671263120 in words is "six hundred seventy-one million, two hundred sixty-three thousand, one hundred twenty".