126090 has 32 divisors (see below), whose sum is σ = 336960. Its totient is φ = 33552.

The previous prime is 126079. The next prime is 126097. The reversal of 126090 is 90621.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an Ulam number.

It is a Curzon number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 126090.

It is not an unprimeable number, because it can be changed into a prime (126097) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37 + ... + 503.

It is an arithmetic number, because the mean of its divisors is an integer number (10530).

2¹²⁶⁰⁹⁰ is an apocalyptic number.

126090 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 126090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168480).

126090 is an abundant number, since it is smaller than the sum of its proper divisors (210870).

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

126090 is a wasteful number, since it uses less digits than its factorization.

126090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 483 (or 477 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 126090 is about 355.0915374942. The cubic root of 126090 is about 50.1449129324.

The spelling of 126090 in words is "one hundred twenty-six thousand, ninety".