114689120 has 96 divisors (see below), whose sum is σ = 333523008. Its totient is φ = 36292608.

The previous prime is 114689117. The next prime is 114689131. The reversal of 114689120 is 21986411.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

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, 10622 + ... + 18498.

It is an arithmetic number, because the mean of its divisors is an integer number (3474198).

Almost surely, 2^114689120 is an apocalyptic number.

114689120 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 114689120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166761504).

114689120 is an abundant number, since it is smaller than the sum of its proper divisors (218833888).

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

114689120 is a wasteful number, since it uses less digits than its factorization.

114689120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7912 (or 7904 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 32.

The square root of 114689120 is about 10709.3006307602. The cubic root of 114689120 is about 485.8558170517.

The spelling of 114689120 in words is "one hundred fourteen million, six hundred eighty-nine thousand, one hundred twenty".