83846336 has 56 divisors (see below), whose sum is σ = 191268096. Its totient is φ = 35723520.

The previous prime is 83846333. The next prime is 83846359. The reversal of 83846336 is 63364838.

It is a tau number, because it is divible by the number of its divisors (56).

It is a junction number, because it is equal to n+sod(n) for n = 83846293 and 83846302.

It is not an unprimeable number, because it can be changed into a prime (83846333) 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, 94085 + ... + 94971.

Almost surely, 2^83846336 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 83846336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95634048).

83846336 is an abundant number, since it is smaller than the sum of its proper divisors (107421760).

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

83846336 is a wasteful number, since it uses less digits than its factorization.

83846336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1117 (or 1107 counting only the distinct ones).

The product of its digits is 248832, while the sum is 41.

The square root of 83846336 is about 9156.7644940776. The cubic root of 83846336 is about 437.6846976350.

It can be divided in two parts, 838 and 46336, that added together give a palindrome (47174).

The spelling of 83846336 in words is "eighty-three million, eight hundred forty-six thousand, three hundred thirty-six".