114816320 has 42 divisors (see below), whose sum is σ = 273863562. Its totient is φ = 45849856.

The previous prime is 114816313. The next prime is 114816329. The reversal of 114816320 is 23618411.

It can be written as a sum of positive squares in only one way, i.e., 91853056 + 22963264 = 9584^2 + 4792^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 114816320.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114816329) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 191381 + ... + 191979.

It is an arithmetic number, because the mean of its divisors is an integer number (6520561).

Almost surely, 2^114816320 is an apocalyptic number.

114816320 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 114816320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136931781).

114816320 is an abundant number, since it is smaller than the sum of its proper divisors (159047242).

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

114816320 is an frugal number, since it uses more digits than its factorization.

114816320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1215 (or 606 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 26.

The square root of 114816320 is about 10715.2377481790. The cubic root of 114816320 is about 486.0353691793.

The spelling of 114816320 in words is "one hundred fourteen million, eight hundred sixteen thousand, three hundred twenty".