96989952 has 72 divisors (see below), whose sum is σ = 263725056. Its totient is φ = 31630336.

The previous prime is 96989941. The next prime is 96989957. The reversal of 96989952 is 25998969.

It is a junction number, because it is equal to n+sod(n) for n = 96989892 and 96989901.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96989957) 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, 34753 + ... + 37439.

It is an arithmetic number, because the mean of its divisors is an integer number (3662848).

Almost surely, 2^96989952 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 96989952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131862528).

96989952 is an abundant number, since it is smaller than the sum of its proper divisors (166735104).

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

96989952 is a wasteful number, since it uses less digits than its factorization.

96989952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2753 (or 2739 counting only the distinct ones).

The product of its digits is 3149280, while the sum is 57.

The square root of 96989952 is about 9848.3476786718. The cubic root of 96989952 is about 459.4542235338.

The spelling of 96989952 in words is "ninety-six million, nine hundred eighty-nine thousand, nine hundred fifty-two".