648181872 has 160 divisors (see below), whose sum is σ = 2016815360. Its totient is φ = 198132480.

The previous prime is 648181867. The next prime is 648181889. The reversal of 648181872 is 278181846.

It is a congruent number.

It is an unprimeable number.

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, 1184703 + ... + 1185249.

It is an arithmetic number, because the mean of its divisors is an integer number (12605096).

Almost surely, 2^648181872 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 648181872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1008407680).

648181872 is an abundant number, since it is smaller than the sum of its proper divisors (1368633488).

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

648181872 is a wasteful number, since it uses less digits than its factorization.

648181872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 788 (or 776 counting only the distinct ones).

The product of its digits is 172032, while the sum is 45.

The square root of 648181872 is about 25459.4161755528. The cubic root of 648181872 is about 865.4306928874.

The spelling of 648181872 in words is "six hundred forty-eight million, one hundred eighty-one thousand, eight hundred seventy-two".