638304960 has 112 divisors (see below), whose sum is σ = 2033662176. Its totient is φ = 169623552.

The previous prime is 638304949. The next prime is 638304977. The reversal of 638304960 is 69403836.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 322534 + ... + 324506.

It is an arithmetic number, because the mean of its divisors is an integer number (18157698).

Almost surely, 2^638304960 is an apocalyptic number.

638304960 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 638304960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1016831088).

638304960 is an abundant number, since it is smaller than the sum of its proper divisors (1395357216).

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

638304960 is a wasteful number, since it uses less digits than its factorization.

638304960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2330 (or 2320 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 39.

The square root of 638304960 is about 25264.6979004302. The cubic root of 638304960 is about 861.0124006572.

The spelling of 638304960 in words is "six hundred thirty-eight million, three hundred four thousand, nine hundred sixty".