63126 has 32 divisors (see below), whose sum is σ = 161280. Its totient is φ = 17928.

The previous prime is 63113. The next prime is 63127. The reversal of 63126 is 62136.

It is a happy number.

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 63099 and 63108.

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 63126.

It is not an unprimeable number, because it can be changed into a prime (63127) by changing a digit.

63126 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, 295 + ... + 461.

It is an arithmetic number, because the mean of its divisors is an integer number (5040).

2⁶³¹²⁶ is an apocalyptic number.

63126 is the 126-th decagonal number.

It is a practical number, because each smaller number is the sum of distinct divisors of 63126, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80640).

63126 is an abundant number, since it is smaller than the sum of its proper divisors (98154).

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

63126 is a wasteful number, since it uses less digits than its factorization.

63126 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185 (or 179 counting only the distinct ones).

The product of its digits is 216, while the sum is 18.

The square root of 63126 is about 251.2488805945. The cubic root of 63126 is about 39.8170814619.

Subtracting from 63126 its reverse (62136), we obtain a triangular number (990 = T₄₄).

The spelling of 63126 in words is "sixty-three thousand, one hundred twenty-six".