114305760 has 72 divisors (see below), whose sum is σ = 390073320. Its totient is φ = 30481152.

The previous prime is 114305759. The next prime is 114305777. The reversal of 114305760 is 67503411.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 38250 + ... + 41129.

It is an arithmetic number, because the mean of its divisors is an integer number (5417685).

Almost surely, 2^114305760 is an apocalyptic number.

114305760 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114305760 is an abundant number, since it is smaller than the sum of its proper divisors (275767560).

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

114305760 is a wasteful number, since it uses less digits than its factorization.

114305760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79400 (or 79389 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 114305760 is about 10691.3871878255. The cubic root of 114305760 is about 485.3138720074.

The spelling of 114305760 in words is "one hundred fourteen million, three hundred five thousand, seven hundred sixty".