96340896 has 72 divisors (see below), whose sum is σ = 281405124. Its totient is φ = 31242240.

The previous prime is 96340873. The next prime is 96340913. The reversal of 96340896 is 69804369.

96340896 is a `hidden beast` number, since 9 + 634 + 0 + 8 + 9 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 67568400 + 28772496 = 8220^2 + 5364^2 .

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

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 6136 + ... + 15176.

Almost surely, 2^96340896 is an apocalyptic number.

96340896 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 96340896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140702562).

96340896 is an abundant number, since it is smaller than the sum of its proper divisors (185064228).

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

96340896 is a wasteful number, since it uses less digits than its factorization.

96340896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9094 (or 9083 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The square root of 96340896 is about 9815.3398311011. The cubic root of 96340896 is about 458.4270407922.

The spelling of 96340896 in words is "ninety-six million, three hundred forty thousand, eight hundred ninety-six".