126896 has 40 divisors (see below), whose sum is σ = 309504. Its totient is φ = 48960.

The previous prime is 126859. The next prime is 126913. The reversal of 126896 is 698621.

It is a super-2 number, since 2×126896² = 32205189632, which contains 22 as substring.

It is an unprimeable number.

126896 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1181 + ... + 1283.

2¹²⁶⁸⁹⁶ is an apocalyptic number.

126896 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

126896 is the 206-th octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 126896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154752).

126896 is an abundant number, since it is smaller than the sum of its proper divisors (182608).

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

126896 is a wasteful number, since it uses less digits than its factorization.

126896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 123 counting only the distinct ones).

The product of its digits is 5184, while the sum is 32.

The square root of 126896 is about 356.2246482208. The cubic root of 126896 is about 50.2515325061.

It can be divided in two parts, 126 and 896, that multiplied together give a square (112896 = 336²).

The spelling of 126896 in words is "one hundred twenty-six thousand, eight hundred ninety-six".