96352992 has 72 divisors (see below), whose sum is σ = 277817904. Its totient is φ = 31670784.

The previous prime is 96352973. The next prime is 96353011. The reversal of 96352992 is 29925369.

96352992 is a `hidden beast` number, since 9 + 635 + 2 + 9 + 9 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (96352973) and next prime (96353011).

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18733 + ... + 23315.

It is an arithmetic number, because the mean of its divisors is an integer number (3858582).

Almost surely, 2^96352992 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 96352992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138908952).

96352992 is an abundant number, since it is smaller than the sum of its proper divisors (181464912).

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

96352992 is a wasteful number, since it uses less digits than its factorization.

96352992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4672 (or 4661 counting only the distinct ones).

The product of its digits is 262440, while the sum is 45.

The square root of 96352992 is about 9815.9559901214. The cubic root of 96352992 is about 458.4462257962.

It can be divided in two parts, 96352 and 992, that added together give a square (97344 = 312²).

The spelling of 96352992 in words is "ninety-six million, three hundred fifty-two thousand, nine hundred ninety-two".