96408576 has 176 divisors, whose sum is σ = 312454080. Its totient is φ = 29122560.

The previous prime is 96408563. The next prime is 96408577. The reversal of 96408576 is 67580469.

It is a tau number, because it is divible by the number of its divisors (176).

It is a super-2 number, since 2×96408576² = 18589227052695552, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96408577) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 303970 + ... + 304286.

Almost surely, 2^96408576 is an apocalyptic number.

96408576 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 96408576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156227040).

96408576 is an abundant number, since it is smaller than the sum of its proper divisors (216045504).

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

96408576 is a wasteful number, since it uses less digits than its factorization.

96408576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 357 (or 333 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 96408576 is about 9818.7868904463. The cubic root of 96408576 is about 458.5343648220.

The spelling of 96408576 in words is "ninety-six million, four hundred eight thousand, five hundred seventy-six".