114335632 has 40 divisors (see below), whose sum is σ = 230219640. Its totient is φ = 55008128.

The previous prime is 114335623. The next prime is 114335633. The reversal of 114335632 is 236533411.

It can be written as a sum of positive squares in 4 ways, for example, as 10784656 + 103550976 = 3284^2 + 10176^2 .

Its product of digits (6480) is a multiple of the sum of its prime divisors (324).

It is a self number, because there is not a number n which added to its sum of digits gives 114335632.

It is not an unprimeable number, because it can be changed into a prime (114335633) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 390078 + ... + 390370.

It is an arithmetic number, because the mean of its divisors is an integer number (5755491).

Almost surely, 2^114335632 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 114335632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115109820).

114335632 is an abundant number, since it is smaller than the sum of its proper divisors (115884008).

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

114335632 is an frugal number, since it uses more digits than its factorization.

114335632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 388 (or 324 counting only the distinct ones).

The product of its digits is 6480, while the sum is 28.

The square root of 114335632 is about 10692.7841089213. The cubic root of 114335632 is about 485.3561446899.

The spelling of 114335632 in words is "one hundred fourteen million, three hundred thirty-five thousand, six hundred thirty-two".