114717760 has 56 divisors (see below), whose sum is σ = 280583640. Its totient is φ = 44642304.

The previous prime is 114717737. The next prime is 114717761. The reversal of 114717760 is 67717411.

It can be written as a sum of positive squares in 4 ways, for example, as 34292736 + 80425024 = 5856^2 + 8968^2 .

It is not an unprimeable number, because it can be changed into a prime (114717761) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6996 + ... + 16684.

Almost surely, 2^114717760 is an apocalyptic number.

114717760 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 114717760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140291820).

114717760 is an abundant number, since it is smaller than the sum of its proper divisors (165865880).

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

114717760 is an equidigital number, since it uses as much as digits as its factorization.

114717760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9743 (or 9733 counting only the distinct ones).

The product of its (nonzero) digits is 8232, while the sum is 34.

The square root of 114717760 is about 10710.6377027701. The cubic root of 114717760 is about 485.8962560881.

The spelling of 114717760 in words is "one hundred fourteen million, seven hundred seventeen thousand, seven hundred sixty".