638080 has 32 divisors (see below), whose sum is σ = 1526940. Its totient is φ = 254976.

The previous prime is 638063. The next prime is 638081. The reversal of 638080 is 80836.

It can be written as a sum of positive squares in 2 ways, for example, as 627264 + 10816 = 792^2 + 104^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is not an unprimeable number, because it can be changed into a prime (638081) by changing a digit.

638080 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 142 + ... + 1138.

2⁶³⁸⁰⁸⁰ 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 638080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (763470).

638080 is an abundant number, since it is smaller than the sum of its proper divisors (888860).

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

638080 is an equidigital number, since it uses as much as digits as its factorization.

638080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1016 (or 1004 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

The square root of 638080 is about 798.7990986475. The cubic root of 638080 is about 86.0911238924.

The spelling of 638080 in words is "six hundred thirty-eight thousand, eighty".