671581872 has 240 divisors, whose sum is σ = 2193609600. Its totient is φ = 189923328.

The previous prime is 671581843. The next prime is 671581873. The reversal of 671581872 is 278185176.

It is a happy number.

671581872 is a `hidden beast` number, since 67 + 1 + 581 + 8 + 7 + 2 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (671581873) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1495504 + ... + 1495952.

It is an arithmetic number, because the mean of its divisors is an integer number (9140040).

Almost surely, 2^671581872 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 671581872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1096804800).

671581872 is an abundant number, since it is smaller than the sum of its proper divisors (1522027728).

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

671581872 is a wasteful number, since it uses less digits than its factorization.

671581872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 540 (or 531 counting only the distinct ones).

The product of its digits is 188160, while the sum is 45.

The square root of 671581872 is about 25914.8967198405. The cubic root of 671581872 is about 875.7221236611.

The spelling of 671581872 in words is "six hundred seventy-one million, five hundred eighty-one thousand, eight hundred seventy-two".