638176 has 72 divisors (see below), whose sum is σ = 1637496. Its totient is φ = 241920.

The previous prime is 638171. The next prime is 638177. The reversal of 638176 is 671836.

638176 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

Its product of digits (6048) is a multiple of the sum of its prime factors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (638171) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17230 + ... + 17266.

It is an arithmetic number, because the mean of its divisors is an integer number (22743).

2⁶³⁸¹⁷⁶ 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 638176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (818748).

638176 is an abundant number, since it is smaller than the sum of its proper divisors (999320).

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

638176 is a wasteful number, since it uses less digits than its factorization.

638176 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72 (or 57 counting only the distinct ones).

The product of its digits is 6048, while the sum is 31.

The square root of 638176 is about 798.8591865905. The cubic root of 638176 is about 86.0954411846.

The spelling of 638176 in words is "six hundred thirty-eight thousand, one hundred seventy-six".