126868800 has 84 divisors (see below), whose sum is σ = 416251136. Its totient is φ = 33830400.

The previous prime is 126868787. The next prime is 126868813. The reversal of 126868800 is 8868621.

It is an interprime number because it is at equal distance from previous prime (126868787) and next prime (126868813).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8416 + ... + 18015.

Almost surely, 2^126868800 is an apocalyptic number.

126868800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

126868800 is an abundant number, since it is smaller than the sum of its proper divisors (289382336).

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

126868800 is a wasteful number, since it uses less digits than its factorization.

126868800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26456 (or 26441 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 39.

The square root of 126868800 is about 11263.6051067143. The cubic root of 126868800 is about 502.4794179833.

The spelling of 126868800 in words is "one hundred twenty-six million, eight hundred sixty-eight thousand, eight hundred".