96816096 has 144 divisors (see below), whose sum is σ = 312333840. Its totient is φ = 28200960.

The previous prime is 96816073. The next prime is 96816101. The reversal of 96816096 is 69061869.

96816096 = 499² + 500² + ... + 745².

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 70456 + ... + 71816.

It is an arithmetic number, because the mean of its divisors is an integer number (2168985).

Almost surely, 2^96816096 is an apocalyptic number.

96816096 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 96816096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156166920).

96816096 is an abundant number, since it is smaller than the sum of its proper divisors (215517744).

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

96816096 is a wasteful number, since it uses less digits than its factorization.

96816096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1409 (or 1398 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The square root of 96816096 is about 9839.5170613196. The cubic root of 96816096 is about 459.1795330549.

It can be divided in two parts, 968160 and 96, that added together give a square (968256 = 984²).

The spelling of 96816096 in words is "ninety-six million, eight hundred sixteen thousand, ninety-six".