114240 has 112 divisors (see below), whose sum is σ = 438912. Its totient is φ = 24576.

The previous prime is 114229. The next prime is 114259. The reversal of 114240 is 42411.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

114240 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 15 ways as a sum of consecutive naturals, for example, 6712 + ... + 6728.

2¹¹⁴²⁴⁰ is an apocalyptic number.

114240 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 114240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219456).

114240 is an abundant number, since it is smaller than the sum of its proper divisors (324672).

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

114240 is a wasteful number, since it uses less digits than its factorization.

114240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 114240 is about 337.9940827884. The cubic root of 114240 is about 48.5220787278.

114240 divided by its product of nonzero digits (32) gives a triangular number (3570 = T₈₄).

Adding to 114240 its reverse (42411), we get a palindrome (156651).

It can be divided in two parts, 1 and 14240, that added together give a palindrome (14241).

The spelling of 114240 in words is "one hundred fourteen thousand, two hundred forty", and thus it is an iban number.