671829984 has 192 divisors, whose sum is σ = 2286144000. Its totient is φ = 191866752.

The previous prime is 671829947. The next prime is 671829989. The reversal of 671829984 is 489928176.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 671829984.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (671829989) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 295219 + ... + 297485.

It is an arithmetic number, because the mean of its divisors is an integer number (11907000).

Almost surely, 2^671829984 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 671829984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1143072000).

671829984 is an abundant number, since it is smaller than the sum of its proper divisors (1614314016).

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

671829984 is a wasteful number, since it uses less digits than its factorization.

671829984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2307 (or 2279 counting only the distinct ones).

The product of its digits is 1741824, while the sum is 54.

The square root of 671829984 is about 25919.6833313989. The cubic root of 671829984 is about 875.8299538577.

The spelling of 671829984 in words is "six hundred seventy-one million, eight hundred twenty-nine thousand, nine hundred eighty-four".