126440 has 32 divisors (see below), whose sum is σ = 297000. Its totient is φ = 48384.

The previous prime is 126433. The next prime is 126443. The reversal of 126440 is 44621.

It can be written as a sum of positive squares in 4 ways, for example, as 111556 + 14884 = 334^2 + 122^2 .

It is not an unprimeable number, because it can be changed into a prime (126443) by changing a digit.

126440 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, 1106 + ... + 1214.

2¹²⁶⁴⁴⁰ is an apocalyptic number.

126440 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 126440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148500).

126440 is an abundant number, since it is smaller than the sum of its proper divisors (170560).

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

126440 is a wasteful number, since it uses less digits than its factorization.

126440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 126440 is about 355.5840266379. The cubic root of 126440 is about 50.1912674027.

The spelling of 126440 in words is "one hundred twenty-six thousand, four hundred forty".