638848 has 64 divisors (see below), whose sum is σ = 1566720. Its totient is φ = 253440.

The previous prime is 638839. The next prime is 638857. The reversal of 638848 is 848836.

638848 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (638839) and next prime (638857).

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20593 + ... + 20623.

It is an arithmetic number, because the mean of its divisors is an integer number (24480).

2⁶³⁸⁸⁴⁸ 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 638848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (783360).

638848 is an abundant number, since it is smaller than the sum of its proper divisors (927872).

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

638848 is a wasteful number, since it uses less digits than its factorization.

638848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75 (or 63 counting only the distinct ones).

The product of its digits is 36864, while the sum is 37.

The square root of 638848 is about 799.2796757081. The cubic root of 638848 is about 86.1256501138.

It can be divided in two parts, 63 and 8848, that added together give a triangular number (8911 = T₁₃₃).

The spelling of 638848 in words is "six hundred thirty-eight thousand, eight hundred forty-eight".