518955648 has 128 divisors (see below), whose sum is σ = 1439570880. Its totient is φ = 165494784.

The previous prime is 518955643. The next prime is 518955733. The reversal of 518955648 is 846559815.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 518955648.

It is not an unprimeable number, because it can be changed into a prime (518955643) 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, 874840 + ... + 875432.

Almost surely, 2^518955648 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 518955648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (719785440).

518955648 is an abundant number, since it is smaller than the sum of its proper divisors (920615232).

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

518955648 is a wasteful number, since it uses less digits than its factorization.

518955648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 706 (or 694 counting only the distinct ones).

The product of its digits is 1728000, while the sum is 51.

The square root of 518955648 is about 22780.5980606305. The cubic root of 518955648 is about 803.6064507933.

The spelling of 518955648 in words is "five hundred eighteen million, nine hundred fifty-five thousand, six hundred forty-eight".