96412320 has 288 divisors, whose sum is σ = 356638464. Its totient is φ = 23654400.

The previous prime is 96412301. The next prime is 96412331. The reversal of 96412320 is 2321469.

It is a tau number, because it is divible by the number of its divisors (288).

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 47 ways as a sum of consecutive naturals, for example, 1357885 + ... + 1357955.

It is an arithmetic number, because the mean of its divisors is an integer number (1238328).

Almost surely, 2^96412320 is an apocalyptic number.

96412320 is a gapful number since it is divisible by the number (90) 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 96412320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178319232).

96412320 is an abundant number, since it is smaller than the sum of its proper divisors (260226144).

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

96412320 is a wasteful number, since it uses less digits than its factorization.

96412320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 96412320 is about 9818.9775435124. The cubic root of 96412320 is about 458.5403004296.

Adding to 96412320 its reverse (2321469), we get a palindrome (98733789).

The spelling of 96412320 in words is "ninety-six million, four hundred twelve thousand, three hundred twenty".