126936 has 48 divisors (see below), whose sum is σ = 360360. Its totient is φ = 40320.

The previous prime is 126923. The next prime is 126943. The reversal of 126936 is 639621.

It is a happy number.

It is a super-2 number, since 2×126936² = 32225496192, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

126936 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, 2931 + ... + 2973.

2¹²⁶⁹³⁶ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 126936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180180).

126936 is an abundant number, since it is smaller than the sum of its proper divisors (233424).

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

126936 is a wasteful number, since it uses less digits than its factorization.

126936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 89 counting only the distinct ones).

The product of its digits is 1944, while the sum is 27.

The square root of 126936 is about 356.2807881433. The cubic root of 126936 is about 50.2568120267.

The spelling of 126936 in words is "one hundred twenty-six thousand, nine hundred thirty-six".