126360 has 96 divisors (see below), whose sum is σ = 458640. Its totient is φ = 31104.

The previous prime is 126359. The next prime is 126397. The reversal of 126360 is 63621.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9714 + ... + 9726.

2¹²⁶³⁶⁰ is an apocalyptic number.

126360 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 126360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229320).

126360 is an abundant number, since it is smaller than the sum of its proper divisors (332280).

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

126360 is a wasteful number, since it uses less digits than its factorization.

126360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39 (or 23 counting only the distinct ones).

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

The square root of 126360 is about 355.4715178464. The cubic root of 126360 is about 50.1806796442.

126360 divided by its product of nonzero digits (216) gives a palindrome (585).

Adding to 126360 its reverse (63621), we get a palindrome (189981).

The spelling of 126360 in words is "one hundred twenty-six thousand, three hundred sixty".