126592 has 32 divisors (see below), whose sum is σ = 269280. Its totient is φ = 59136.

The previous prime is 126583. The next prime is 126601. The reversal of 126592 is 295621.

It is an interprime number because it is at equal distance from previous prime (126583) and next prime (126601).

It is a tau number, because it is divible by the number of its divisors (32).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2923 + ... + 2965.

It is an arithmetic number, because the mean of its divisors is an integer number (8415).

2¹²⁶⁵⁹² 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 126592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134640).

126592 is an abundant number, since it is smaller than the sum of its proper divisors (142688).

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

126592 is an equidigital number, since it uses as much as digits as its factorization.

126592 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 68 counting only the distinct ones).

The product of its digits is 1080, while the sum is 25.

The square root of 126592 is about 355.7976953270. The cubic root of 126592 is about 50.2113718464.

The spelling of 126592 in words is "one hundred twenty-six thousand, five hundred ninety-two".