648112640 has 160 divisors (see below), whose sum is σ = 1808991360. Its totient is φ = 218087424.

The previous prime is 648112631. The next prime is 648112643. The reversal of 648112640 is 46211846.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 648112597 and 648112606.

It is not an unprimeable number, because it can be changed into a prime (648112643) 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, 1056974 + ... + 1057586.

It is an arithmetic number, because the mean of its divisors is an integer number (11306196).

Almost surely, 2^648112640 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 648112640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (904495680).

648112640 is an abundant number, since it is smaller than the sum of its proper divisors (1160878720).

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

648112640 is an equidigital number, since it uses as much as digits as its factorization.

648112640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 702 (or 686 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 32.

The square root of 648112640 is about 25458.0564851286. The cubic root of 648112640 is about 865.3998797090.

The spelling of 648112640 in words is "six hundred forty-eight million, one hundred twelve thousand, six hundred forty".