114960384 has 336 divisors, whose sum is σ = 429680160. Its totient is φ = 29859840.

The previous prime is 114960383. The next prime is 114960389. The reversal of 114960384 is 483069411.

114960384 is a `hidden beast` number, since 1 + 1 + 49 + 603 + 8 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114960383) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 10450939 + ... + 10450949.

It is an arithmetic number, because the mean of its divisors is an integer number (1278810).

Almost surely, 2^114960384 is an apocalyptic number.

114960384 is a gapful number since it is divisible by the number (14) 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 114960384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214840080).

114960384 is an abundant number, since it is smaller than the sum of its proper divisors (314719776).

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

114960384 is an frugal number, since it uses more digits than its factorization.

114960384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 114960384 is about 10721.9580301361. The cubic root of 114960384 is about 486.2385660020.

The spelling of 114960384 in words is "one hundred fourteen million, nine hundred sixty thousand, three hundred eighty-four".