114238960 has 80 divisors (see below), whose sum is σ = 296588160. Its totient is φ = 40561920.

The previous prime is 114238951. The next prime is 114238961. The reversal of 114238960 is 69832411.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114238961) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36331 + ... + 39349.

It is an arithmetic number, because the mean of its divisors is an integer number (3707352).

Almost surely, 2^114238960 is an apocalyptic number.

114238960 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 114238960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148294080).

114238960 is an abundant number, since it is smaller than the sum of its proper divisors (182349200).

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

114238960 is a wasteful number, since it uses less digits than its factorization.

114238960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3086 (or 3080 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 34.

The square root of 114238960 is about 10688.2627213219. The cubic root of 114238960 is about 485.2193148481.

The spelling of 114238960 in words is "one hundred fourteen million, two hundred thirty-eight thousand, nine hundred sixty".