114688920 has 128 divisors (see below), whose sum is σ = 355622400. Its totient is φ = 29577216.

The previous prime is 114688909. The next prime is 114688949. The reversal of 114688920 is 29886411.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 686677 + ... + 686843.

It is an arithmetic number, because the mean of its divisors is an integer number (2778300).

Almost surely, 2^114688920 is an apocalyptic number.

114688920 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 114688920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177811200).

114688920 is an abundant number, since it is smaller than the sum of its proper divisors (240933480).

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

114688920 is a wasteful number, since it uses less digits than its factorization.

114688920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 337 (or 333 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 39.

The square root of 114688920 is about 10709.2912930782. The cubic root of 114688920 is about 485.8555346325.

The spelling of 114688920 in words is "one hundred fourteen million, six hundred eighty-eight thousand, nine hundred twenty".