96456096 has 240 divisors, whose sum is σ = 329313600. Its totient is φ = 27371520.

The previous prime is 96456053. The next prime is 96456133. The reversal of 96456096 is 69065469.

It is a super-2 number, since 2×96456096² = 18607556911122432, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 484605 + ... + 484803.

It is an arithmetic number, because the mean of its divisors is an integer number (1372140).

Almost surely, 2^96456096 is an apocalyptic number.

96456096 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 96456096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164656800).

96456096 is an abundant number, since it is smaller than the sum of its proper divisors (232857504).

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

96456096 is a wasteful number, since it uses less digits than its factorization.

96456096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The square root of 96456096 is about 9821.2064432024. The cubic root of 96456096 is about 458.6096899810.

The spelling of 96456096 in words is "ninety-six million, four hundred fifty-six thousand, ninety-six".