114840240 has 80 divisors (see below), whose sum is σ = 359747808. Its totient is φ = 30302208.

The previous prime is 114840239. The next prime is 114840259. The reversal of 114840240 is 42048411.

It is a tau number, because it is divible by the number of its divisors (80).

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 114840240.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20814 + ... + 25746.

Almost surely, 2^114840240 is an apocalyptic number.

114840240 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 114840240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179873904).

114840240 is an abundant number, since it is smaller than the sum of its proper divisors (244907568).

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

114840240 is a wasteful number, since it uses less digits than its factorization.

114840240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5046 (or 5040 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

The square root of 114840240 is about 10716.3538575394. The cubic root of 114840240 is about 486.0691191978.

Adding to 114840240 its reverse (42048411), we get a palindrome (156888651).

It can be divided in two parts, 114840 and 240, that multiplied together give a triangular number (27561600 = T₇₄₂₄).

The spelling of 114840240 in words is "one hundred fourteen million, eight hundred forty thousand, two hundred forty".