126028800 has 198 divisors, whose sum is σ = 452067668. Its totient is φ = 33546240.

The previous prime is 126028759. The next prime is 126028849. The reversal of 126028800 is 8820621.

It is a zygodrome in base 2.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 230127 + ... + 230673.

Almost surely, 2^126028800 is an apocalyptic number.

126028800 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 126028800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226033834).

126028800 is an abundant number, since it is smaller than the sum of its proper divisors (326038868).

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

126028800 is a wasteful number, since it uses less digits than its factorization.

126028800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 583 (or 557 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 126028800 is about 11226.2549409854. The cubic root of 126028800 is about 501.3679871423.

The spelling of 126028800 in words is "one hundred twenty-six million, twenty-eight thousand, eight hundred".