114116940 has 216 divisors, whose sum is σ = 414060192. Its totient is φ = 24906240.

The previous prime is 114116929. The next prime is 114116941. The reversal of 114116940 is 49611411.

It is not an unprimeable number, because it can be changed into a prime (114116941) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2427997 + ... + 2428043.

Almost surely, 2^114116940 is an apocalyptic number.

114116940 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 114116940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207030096).

114116940 is an abundant number, since it is smaller than the sum of its proper divisors (299943252).

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

114116940 is a wasteful number, since it uses less digits than its factorization.

114116940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 114116940 is about 10682.5530656300. The cubic root of 114116940 is about 485.0464971187.

It can be divided in two parts, 1141 and 16940, that added together give a palindrome (18081).

The spelling of 114116940 in words is "one hundred fourteen million, one hundred sixteen thousand, nine hundred forty".