126638600 has 72 divisors (see below), whose sum is σ = 323696730. Its totient is φ = 46041600.

The previous prime is 126638597. The next prime is 126638651. The reversal of 126638600 is 6836621.

It can be written as a sum of positive squares in 3 ways, for example, as 119552356 + 7086244 = 10934^2 + 2662^2 .

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 17 ways as a sum of consecutive naturals, for example, 21584 + ... + 26816.

Almost surely, 2^126638600 is an apocalyptic number.

126638600 is a gapful number since it is divisible by the number (10) 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 126638600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161848365).

126638600 is an abundant number, since it is smaller than the sum of its proper divisors (197058130).

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

126638600 is a wasteful number, since it uses less digits than its factorization.

126638600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5271 (or 5251 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 32.

The square root of 126638600 is about 11253.3817139560. The cubic root of 126638600 is about 502.1753222216.

The spelling of 126638600 in words is "one hundred twenty-six million, six hundred thirty-eight thousand, six hundred".