114680160 has 288 divisors, whose sum is σ = 462938112. Its totient is φ = 25297920.

The previous prime is 114680119. The next prime is 114680161. The reversal of 114680160 is 61086411.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114680161) 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 47 ways as a sum of consecutive naturals, for example, 312297 + ... + 312663.

It is an arithmetic number, because the mean of its divisors is an integer number (1607424).

Almost surely, 2^114680160 is an apocalyptic number.

114680160 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 114680160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231469056).

114680160 is an abundant number, since it is smaller than the sum of its proper divisors (348257952).

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

114680160 is a wasteful number, since it uses less digits than its factorization.

114680160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 426 (or 415 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 114680160 is about 10708.8822946188. The cubic root of 114680160 is about 485.8431643505.

The spelling of 114680160 in words is "one hundred fourteen million, six hundred eighty thousand, one hundred sixty".