114087160 has 64 divisors (see below), whose sum is σ = 289720800. Its totient is φ = 40051200.

The previous prime is 114087157. The next prime is 114087163. The reversal of 114087160 is 61780411.

It is an interprime number because it is at equal distance from previous prime (114087157) and next prime (114087163).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114087163) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8290 + ... + 17230.

Almost surely, 2^114087160 is an apocalyptic number.

114087160 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 114087160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144860400).

114087160 is an abundant number, since it is smaller than the sum of its proper divisors (175633640).

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

114087160 is a wasteful number, since it uses less digits than its factorization.

114087160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8992 (or 8988 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 28.

The square root of 114087160 is about 10681.1591131300. The cubic root of 114087160 is about 485.0043008086.

The spelling of 114087160 in words is "one hundred fourteen million, eighty-seven thousand, one hundred sixty".