126420 has 72 divisors (see below), whose sum is σ = 421344. Its totient is φ = 28224.

The previous prime is 126397. The next prime is 126421. The reversal of 126420 is 24621.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 126420.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 126420.

It is not an unprimeable number, because it can be changed into a prime (126421) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 2919 + ... + 2961.

It is an arithmetic number, because the mean of its divisors is an integer number (5852).

2¹²⁶⁴²⁰ is an apocalyptic number.

126420 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 126420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210672).

126420 is an abundant number, since it is smaller than the sum of its proper divisors (294924).

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

126420 is a wasteful number, since it uses less digits than its factorization.

126420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 126420 is about 355.5559027776. Note that the first 3 decimals coincide. The cubic root of 126420 is about 50.1886208818.

The spelling of 126420 in words is "one hundred twenty-six thousand, four hundred twenty".