126800 has 30 divisors (see below), whose sum is σ = 305598. Its totient is φ = 50560.

The previous prime is 126781. The next prime is 126823. The reversal of 126800 is 8621.

It can be written as a sum of positive squares in 3 ways, for example, as 64 + 126736 = 8^2 + 356^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 242 + ... + 558.

2¹²⁶⁸⁰⁰ is an apocalyptic number.

126800 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 126800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152799).

126800 is an abundant number, since it is smaller than the sum of its proper divisors (178798).

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

126800 is a wasteful number, since it uses less digits than its factorization.

126800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 335 (or 324 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

The square root of 126800 is about 356.0898762953. The cubic root of 126800 is about 50.2388571285.

The spelling of 126800 in words is "one hundred twenty-six thousand, eight hundred".