114084832 has 48 divisors (see below), whose sum is σ = 230982192. Its totient is φ = 55444480.

The previous prime is 114084829. The next prime is 114084833. The reversal of 114084832 is 238480411.

It is a junction number, because it is equal to n+sod(n) for n = 114084794 and 114084803.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114084833) 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, 232107 + ... + 232597.

It is an arithmetic number, because the mean of its divisors is an integer number (4812129).

Almost surely, 2^114084832 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114084832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115491096).

114084832 is an abundant number, since it is smaller than the sum of its proper divisors (116897360).

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

114084832 is a wasteful number, since it uses less digits than its factorization.

114084832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 691 (or 683 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 31.

The square root of 114084832 is about 10681.0501356374. The cubic root of 114084832 is about 485.0010018756.

The spelling of 114084832 in words is "one hundred fourteen million, eighty-four thousand, eight hundred thirty-two".