126084 has 48 divisors (see below), whose sum is σ = 358400. Its totient is φ = 33696.

The previous prime is 126079. The next prime is 126097. The reversal of 126084 is 480621.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 126084.

It is an unprimeable number.

126084 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1557 + ... + 1635.

2¹²⁶⁰⁸⁴ is an apocalyptic number.

126084 is a gapful number since it is divisible by the number (14) 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 126084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179200).

126084 is an abundant number, since it is smaller than the sum of its proper divisors (232316).

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

126084 is a wasteful number, since it uses less digits than its factorization.

126084 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 126084 is about 355.0830888679. The cubic root of 126084 is about 50.1441175369.

The spelling of 126084 in words is "one hundred twenty-six thousand, eighty-four".