114960 has 40 divisors (see below), whose sum is σ = 357120. Its totient is φ = 30592.

The previous prime is 114941. The next prime is 114967. The reversal of 114960 is 69411.

114960 is a nontrivial binomial coefficient, being equal to C(480, 2).

It is a tau number, because it is divible by the number of its divisors (40).

It is an Ulam number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 114960.

It is not an unprimeable number, because it can be changed into a prime (114967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1 + ... + 479.

It is an arithmetic number, because the mean of its divisors is an integer number (8928).

2¹¹⁴⁹⁶⁰ is an apocalyptic number.

114960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

114960 is the 479-th triangular number and also the 240-th hexagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178560).

114960 is an abundant number, since it is smaller than the sum of its proper divisors (242160).

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

114960 is a wasteful number, since it uses less digits than its factorization.

114960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 495 (or 489 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

The square root of 114960 is about 339.0575172445. The cubic root of 114960 is about 48.6238024610.

The spelling of 114960 in words is "one hundred fourteen thousand, nine hundred sixty".