638180 has 24 divisors (see below), whose sum is σ = 1419768. Its totient is φ = 240128.

The previous prime is 638179. The next prime is 638201. The reversal of 638180 is 81836.

It can be written as a sum of positive squares in 4 ways, for example, as 164836 + 473344 = 406^2 + 688^2 .

It is a super-3 number, since 3×638180³ = 779741813338296000, which contains 333 as substring.

It is an Ulam number.

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 7 ways as a sum of consecutive naturals, for example, 599 + ... + 1278.

It is an arithmetic number, because the mean of its divisors is an integer number (59157).

2⁶³⁸¹⁸⁰ is an apocalyptic number.

It is an amenable number.

638180 is an abundant number, since it is smaller than the sum of its proper divisors (781588).

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

638180 is a wasteful number, since it uses less digits than its factorization.

638180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1903 (or 1901 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 26.

The square root of 638180 is about 798.8616901567. The cubic root of 638180 is about 86.0956210624.

It can be divided in two parts, 638 and 180, that added together give a palindrome (818).

The spelling of 638180 in words is "six hundred thirty-eight thousand, one hundred eighty".