126587200 has 84 divisors (see below), whose sum is σ = 316834012. Its totient is φ = 49766400.

The previous prime is 126587179. The next prime is 126587203. The reversal of 126587200 is 2785621.

It can be written as a sum of positive squares in 6 ways, for example, as 788544 + 125798656 = 888^2 + 11216^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126587203) 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 11 ways as a sum of consecutive naturals, for example, 96952 + ... + 98248.

Almost surely, 2^126587200 is an apocalyptic number.

126587200 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 126587200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158417006).

126587200 is an abundant number, since it is smaller than the sum of its proper divisors (190246812).

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

126587200 is a wasteful number, since it uses less digits than its factorization.

126587200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1380 (or 1365 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 31.

The square root of 126587200 is about 11251.0977242223. The cubic root of 126587200 is about 502.1073721534.

The spelling of 126587200 in words is "one hundred twenty-six million, five hundred eighty-seven thousand, two hundred".