96839952 has 80 divisors (see below), whose sum is σ = 280345152. Its totient is φ = 28546560.

The previous prime is 96839947. The next prime is 96839969. The reversal of 96839952 is 25993869.

It is a junction number, because it is equal to n+sod(n) for n = 96839895 and 96839904.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 17058 + ... + 22014.

Almost surely, 2^96839952 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 96839952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140172576).

96839952 is an abundant number, since it is smaller than the sum of its proper divisors (183505200).

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

96839952 is a wasteful number, since it uses less digits than its factorization.

96839952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5016 (or 5010 counting only the distinct ones).

The product of its digits is 1049760, while the sum is 51.

The square root of 96839952 is about 9840.7292412707. The cubic root of 96839952 is about 459.2172447157.

It can be divided in two parts, 96 and 839952, that added together give a palindrome (840048).

The spelling of 96839952 in words is "ninety-six million, eight hundred thirty-nine thousand, nine hundred fifty-two".