96456384 has 84 divisors (see below), whose sum is σ = 278556720. Its totient is φ = 31910400.

The previous prime is 96456383. The next prime is 96456397. The reversal of 96456384 is 48365469.

96456384 is a `hidden beast` number, since 9 + 6 + 4 + 5 + 638 + 4 = 666.

It is not an unprimeable number, because it can be changed into a prime (96456383) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 86422 + ... + 87530.

Almost surely, 2^96456384 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 96456384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139278360).

96456384 is an abundant number, since it is smaller than the sum of its proper divisors (182100336).

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

96456384 is a wasteful number, since it uses less digits than its factorization.

96456384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1278 (or 1265 counting only the distinct ones).

The product of its digits is 622080, while the sum is 45.

The square root of 96456384 is about 9821.2211053412. The cubic root of 96456384 is about 458.6101464217.

The spelling of 96456384 in words is "ninety-six million, four hundred fifty-six thousand, three hundred eighty-four".