114024960 has 360 divisors, whose sum is σ = 463922316. Its totient is φ = 25804800.

The previous prime is 114024941. The next prime is 114024971. The reversal of 114024960 is 69420411.

It can be written as a sum of positive squares in 2 ways, for example, as 108493056 + 5531904 = 10416^2 + 2352^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1128910 + ... + 1129010.

Almost surely, 2^114024960 is an apocalyptic number.

114024960 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 114024960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231961158).

114024960 is an abundant number, since it is smaller than the sum of its proper divisors (349897356).

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

114024960 is a wasteful number, since it uses less digits than its factorization.

114024960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 114024960 is about 10678.2470471515. The cubic root of 114024960 is about 484.9161437903.

The spelling of 114024960 in words is "one hundred fourteen million, twenty-four thousand, nine hundred sixty".