634536100 has 81 divisors (see below), whose sum is σ = 1520137731. Its totient is φ = 229732800.

The previous prime is 634536083. The next prime is 634536107. The reversal of 634536100 is 1635436.

The square root of 634536100 is 25190.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 86601636 + 547934464 = 9306^2 + 23408^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (634536107) by changing a digit.

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 26 ways as a sum of consecutive naturals, for example, 2770786 + ... + 2771014.

Almost surely, 2^634536100 is an apocalyptic number.

634536100 is the 25190-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 634536100

634536100 is an abundant number, since it is smaller than the sum of its proper divisors (885601631).

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

634536100 is a wasteful number, since it uses less digits than its factorization.

634536100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 494 (or 247 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 28.

The cubic root of 634536100 is about 859.3144437330.

The spelling of 634536100 in words is "six hundred thirty-four million, five hundred thirty-six thousand, one hundred".