126879600 has 60 divisors (see below), whose sum is σ = 406441496. Its totient is φ = 33834240.

The previous prime is 126879583. The next prime is 126879601. The reversal of 126879600 is 6978621.

It is a tau number, because it is divible by the number of its divisors (60).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126879601) 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, 51667 + ... + 54066.

Almost surely, 2^126879600 is an apocalyptic number.

126879600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

126879600 is an abundant number, since it is smaller than the sum of its proper divisors (279561896).

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

126879600 is a wasteful number, since it uses less digits than its factorization.

126879600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105754 (or 105743 counting only the distinct ones).

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

The square root of 126879600 is about 11264.0845167284. The cubic root of 126879600 is about 502.4936758195.

The spelling of 126879600 in words is "one hundred twenty-six million, eight hundred seventy-nine thousand, six hundred".