638319006 has 96 divisors (see below), whose sum is σ = 1528214688. Its totient is φ = 191358720.

The previous prime is 638318987. The next prime is 638319113. The reversal of 638319006 is 600913836.

It is a happy number.

638319006 is a `hidden beast` number, since 638 + 3 + 19 + 0 + 0 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2811865 + ... + 2812091.

It is an arithmetic number, because the mean of its divisors is an integer number (15918903).

Almost surely, 2^638319006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 638319006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (764107344).

638319006 is an abundant number, since it is smaller than the sum of its proper divisors (889895682).

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

638319006 is a wasteful number, since it uses less digits than its factorization.

638319006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 506 (or 503 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 638319006 is about 25264.9758757059. The cubic root of 638319006 is about 861.0187161815.

The spelling of 638319006 in words is "six hundred thirty-eight million, three hundred nineteen thousand, six".