126516 has 24 divisors (see below), whose sum is σ = 318304. Its totient is φ = 38880.

The previous prime is 126499. The next prime is 126517. The reversal of 126516 is 615621.

It is a happy number.

126516 is nontrivially palindromic in base 5.

It is a Smith number, since the sum of its digits (21) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 126492 and 126501.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126517) by changing a digit.

126516 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 7 ways as a sum of consecutive naturals, for example, 250 + ... + 561.

2¹²⁶⁵¹⁶ is an apocalyptic number.

It is an amenable number.

126516 is an abundant number, since it is smaller than the sum of its proper divisors (191788).

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

126516 is a wasteful number, since it uses less digits than its factorization.

126516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 831 (or 829 counting only the distinct ones).

The product of its digits is 360, while the sum is 21.

The square root of 126516 is about 355.6908770267. The cubic root of 126516 is about 50.2013216373.

The spelling of 126516 in words is "one hundred twenty-six thousand, five hundred sixteen".