126616 has 48 divisors (see below), whose sum is σ = 307800. Its totient is φ = 48384.

The previous prime is 126613. The next prime is 126631. The reversal of 126616 is 616621.

It is a super-2 number, since 2×126616² = 32063222912, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126611) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6655 + ... + 6673.

2¹²⁶⁶¹⁶ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 126616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153900).

126616 is an abundant number, since it is smaller than the sum of its proper divisors (181184).

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

126616 is a wasteful number, since it uses less digits than its factorization.

126616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56 (or 45 counting only the distinct ones).

The product of its digits is 432, while the sum is 22.

The square root of 126616 is about 355.8314207599. The cubic root of 126616 is about 50.2145447609.

The spelling of 126616 in words is "one hundred twenty-six thousand, six hundred sixteen".