126827600 has 60 divisors (see below), whose sum is σ = 305978556. Its totient is φ = 50519040.

The previous prime is 126827587. The next prime is 126827609. The reversal of 126827600 is 6728621.

It can be written as a sum of positive squares in 6 ways, for example, as 73479184 + 53348416 = 8572^2 + 7304^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126827609) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 124694 + ... + 125706.

Almost surely, 2^126827600 is an apocalyptic number.

126827600 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 126827600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152989278).

126827600 is an abundant number, since it is smaller than the sum of its proper divisors (179150956).

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

126827600 is a wasteful number, since it uses less digits than its factorization.

126827600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1344 (or 1333 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 32.

The square root of 126827600 is about 11261.7760588639. The cubic root of 126827600 is about 502.4250195459.

The spelling of 126827600 in words is "one hundred twenty-six million, eight hundred twenty-seven thousand, six hundred".