126320 has 20 divisors (see below), whose sum is σ = 293880. Its totient is φ = 50496.

The previous prime is 126317. The next prime is 126323. The reversal of 126320 is 23621.

It is an interprime number because it is at equal distance from previous prime (126317) and next prime (126323).

It is a tau number, because it is divible by the number of its divisors (20).

It is a junction number, because it is equal to n+sod(n) for n = 126295 and 126304.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 126320.

It is not an unprimeable number, because it can be changed into a prime (126323) 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, 710 + ... + 869.

It is an arithmetic number, because the mean of its divisors is an integer number (14694).

2¹²⁶³²⁰ is an apocalyptic number.

126320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

126320 is an abundant number, since it is smaller than the sum of its proper divisors (167560).

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

126320 is a wasteful number, since it uses less digits than its factorization.

126320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1592 (or 1586 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 126320 is about 355.4152500949. The cubic root of 126320 is about 50.1753840891.

Adding to 126320 its reverse (23621), we get a palindrome (149941).

The spelling of 126320 in words is "one hundred twenty-six thousand, three hundred twenty".