126600 has 48 divisors (see below), whose sum is σ = 394320. Its totient is φ = 33600.

The previous prime is 126583. The next prime is 126601. The reversal of 126600 is 6621.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 126600.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 126600.

It is not an unprimeable number, because it can be changed into a prime (126601) by changing a digit.

126600 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 495 + ... + 705.

It is an arithmetic number, because the mean of its divisors is an integer number (8215).

2¹²⁶⁶⁰⁰ is an apocalyptic number.

126600 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 126600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197160).

126600 is an abundant number, since it is smaller than the sum of its proper divisors (267720).

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

126600 is a wasteful number, since it uses less digits than its factorization.

126600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 126600 is about 355.8089374931. The cubic root of 126600 is about 50.2124295291.

The spelling of 126600 in words is "one hundred twenty-six thousand, six hundred".