126646600 has 72 divisors (see below), whose sum is σ = 313397910. Its totient is φ = 47431680.

The previous prime is 126646589. The next prime is 126646601. The reversal of 126646600 is 6646621.

It can be written as a sum of positive squares in 9 ways, for example, as 2056356 + 124590244 = 1434^2 + 11162^2 .

It is a super-4 number, since 4×126646600⁴ (a number of 34 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126646601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 656104 + ... + 656296.

Almost surely, 2^126646600 is an apocalyptic number.

126646600 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 126646600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156698955).

126646600 is an abundant number, since it is smaller than the sum of its proper divisors (186751310).

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

126646600 is a wasteful number, since it uses less digits than its factorization.

126646600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 419 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 31.

The square root of 126646600 is about 11253.7371570514. The cubic root of 126646600 is about 502.1858964540.

The spelling of 126646600 in words is "one hundred twenty-six million, six hundred forty-six thousand, six hundred".