126464 has 40 divisors (see below), whose sum is σ = 286440. Its totient is φ = 55296.

The previous prime is 126461. The next prime is 126473. The reversal of 126464 is 464621.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126461) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6647 + ... + 6665.

It is an arithmetic number, because the mean of its divisors is an integer number (7161).

2¹²⁶⁴⁶⁴ 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 126464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143220).

126464 is an abundant number, since it is smaller than the sum of its proper divisors (159976).

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

126464 is an equidigital number, since it uses as much as digits as its factorization.

126464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50 (or 34 counting only the distinct ones).

The product of its digits is 1152, while the sum is 23.

The square root of 126464 is about 355.6177723343. The cubic root of 126464 is about 50.1944428593.

The spelling of 126464 in words is "one hundred twenty-six thousand, four hundred sixty-four".