114291360 has 144 divisors (see below), whose sum is σ = 393513120. Its totient is φ = 30205440.

The previous prime is 114291329. The next prime is 114291361. The reversal of 114291360 is 63192411.

114291360 is a `hidden beast` number, since 1 + 14 + 291 + 360 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (114291361) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 199875 + ... + 200445.

It is an arithmetic number, because the mean of its divisors is an integer number (2732730).

Almost surely, 2^114291360 is an apocalyptic number.

114291360 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 114291360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196756560).

114291360 is an abundant number, since it is smaller than the sum of its proper divisors (279221760).

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

114291360 is a wasteful number, since it uses less digits than its factorization.

114291360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 731 (or 720 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 114291360 is about 10690.7137273430. The cubic root of 114291360 is about 485.2934915435.

The spelling of 114291360 in words is "one hundred fourteen million, two hundred ninety-one thousand, three hundred sixty".