126960 has 60 divisors (see below), whose sum is σ = 411432. Its totient is φ = 32384.

The previous prime is 126949. The next prime is 126961. The reversal of 126960 is 69621.

126960 = 63² + 64² + ... + 85².

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-2 number, since 2×126960² = 32237683200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 126960.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126961) by changing a digit.

126960 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5509 + ... + 5531.

2¹²⁶⁹⁶⁰ is an apocalyptic number.

126960 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 126960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205716).

126960 is an abundant number, since it is smaller than the sum of its proper divisors (284472).

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

126960 is a wasteful number, since it uses less digits than its factorization.

126960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62 (or 33 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

The square root of 126960 is about 356.3144678511. The cubic root of 126960 is about 50.2599792067.

The spelling of 126960 in words is "one hundred twenty-six thousand, nine hundred sixty".