126987600 has 240 divisors, whose sum is σ = 438400512. Its totient is φ = 31342080.

The previous prime is 126987571. The next prime is 126987611. The reversal of 126987600 is 6789621.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×126987600² = 32251701107520000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 1186747 + ... + 1186853.

Almost surely, 2^126987600 is an apocalyptic number.

126987600 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 126987600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219200256).

126987600 is an abundant number, since it is smaller than the sum of its proper divisors (311412912).

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

126987600 is a wasteful number, since it uses less digits than its factorization.

126987600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 39.

The square root of 126987600 is about 11268.8774951190. The cubic root of 126987600 is about 502.6362097027.

The spelling of 126987600 in words is "one hundred twenty-six million, nine hundred eighty-seven thousand, six hundred".