638100 has 54 divisors (see below), whose sum is σ = 2002910. Its totient is φ = 169920.

The previous prime is 638081. The next prime is 638117. The reversal of 638100 is 1836.

638100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 1296 + 636804 = 36^2 + 798^2 .

It is a super-2 number, since 2×638100² = 814343220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 15.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 546 + ... + 1254.

2⁶³⁸¹⁰⁰ is an apocalyptic number.

638100 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 638100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1001455).

638100 is an abundant number, since it is smaller than the sum of its proper divisors (1364810).

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

638100 is a wasteful number, since it uses less digits than its factorization.

638100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 729 (or 719 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 638100 is about 798.8116173417. The cubic root of 638100 is about 86.0920233640.

Adding to 638100 its reverse (1836), we get a palindrome (639936).

The spelling of 638100 in words is "six hundred thirty-eight thousand, one hundred".