83536128 has 108 divisors (see below), whose sum is σ = 259475580. Its totient is φ = 25694208.

The previous prime is 83536099. The next prime is 83536129. The reversal of 83536128 is 82163538.

83536128 is a `hidden beast` number, since 8 + 35 + 3 + 612 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 31002624 + 52533504 = 5568^2 + 7248^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 83536092 and 83536101.

It is not an unprimeable number, because it can be changed into a prime (83536129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 28558 + ... + 31346.

Almost surely, 2^83536128 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 83536128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129737790).

83536128 is an abundant number, since it is smaller than the sum of its proper divisors (175939452).

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

83536128 is a wasteful number, since it uses less digits than its factorization.

83536128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2824 (or 2807 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 83536128 is about 9139.8100636720. The cubic root of 83536128 is about 437.1442602617.

It can be divided in two parts, 835 and 36128, that added together give a palindrome (36963).

The spelling of 83536128 in words is "eighty-three million, five hundred thirty-six thousand, one hundred twenty-eight".