114095760 has 160 divisors (see below), whose sum is σ = 377118720. Its totient is φ = 28454400.

The previous prime is 114095759. The next prime is 114095767. The reversal of 114095760 is 67590411.

It is not an unprimeable number, because it can be changed into a prime (114095767) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 597265 + ... + 597455.

It is an arithmetic number, because the mean of its divisors is an integer number (2356992).

Almost surely, 2^114095760 is an apocalyptic number.

114095760 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 114095760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188559360).

114095760 is an abundant number, since it is smaller than the sum of its proper divisors (263022960).

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

114095760 is a wasteful number, since it uses less digits than its factorization.

114095760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 357 (or 351 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 33.

The square root of 114095760 is about 10681.5616835742. The cubic root of 114095760 is about 485.0164871995.

The spelling of 114095760 in words is "one hundred fourteen million, ninety-five thousand, seven hundred sixty".