126688 has 24 divisors (see below), whose sum is σ = 258552. Its totient is φ = 61056.

The previous prime is 126683. The next prime is 126691. The reversal of 126688 is 886621.

It is a plaindrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126683) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1131 + ... + 1237.

It is an arithmetic number, because the mean of its divisors is an integer number (10773).

2¹²⁶⁶⁸⁸ 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 126688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129276).

126688 is an abundant number, since it is smaller than the sum of its proper divisors (131864).

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

126688 is a wasteful number, since it uses less digits than its factorization.

126688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 146 counting only the distinct ones).

The product of its digits is 4608, while the sum is 31.

The square root of 126688 is about 355.9325778852. The cubic root of 126688 is about 50.2240610993.

The spelling of 126688 in words is "one hundred twenty-six thousand, six hundred eighty-eight".