114808320 has 320 divisors, whose sum is σ = 447828480. Its totient is φ = 27648000.

The previous prime is 114808307. The next prime is 114808321. The reversal of 114808320 is 23808411.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114808321) 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 31 ways as a sum of consecutive naturals, for example, 760245 + ... + 760395.

It is an arithmetic number, because the mean of its divisors is an integer number (1399464).

Almost surely, 2^114808320 is an apocalyptic number.

114808320 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 114808320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223914240).

114808320 is an abundant number, since it is smaller than the sum of its proper divisors (333020160).

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

114808320 is a wasteful number, since it uses less digits than its factorization.

114808320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 114808320 is about 10714.8644415130. The cubic root of 114808320 is about 486.0240805017.

Subtracting from 114808320 its reverse (23808411), we obtain a palindrome (90999909).

The spelling of 114808320 in words is "one hundred fourteen million, eight hundred eight thousand, three hundred twenty".