114291760 has 60 divisors (see below), whose sum is σ = 292106304. Its totient is φ = 41557120.

The previous prime is 114291739. The next prime is 114291767. The reversal of 114291760 is 67192411.

It is not an unprimeable number, because it can be changed into a prime (114291767) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3777 + ... + 15583.

Almost surely, 2^114291760 is an apocalyptic number.

114291760 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 114291760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146053152).

114291760 is an abundant number, since it is smaller than the sum of its proper divisors (177814544).

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

114291760 is a wasteful number, since it uses less digits than its factorization.

114291760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11842 (or 11825 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 31.

The square root of 114291760 is about 10690.7324351515. The cubic root of 114291760 is about 485.2940576906.

The spelling of 114291760 in words is "one hundred fourteen million, two hundred ninety-one thousand, seven hundred sixty".