96609984 has 112 divisors (see below), whose sum is σ = 273588480. Its totient is φ = 29998080.

The previous prime is 96609917. The next prime is 96610009. The reversal of 96609984 is 48990669.

96609984 is nontrivially palindromic in base 7.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 258822 + ... + 259194.

Almost surely, 2^96609984 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 96609984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136794240).

96609984 is an abundant number, since it is smaller than the sum of its proper divisors (176978496).

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

96609984 is a wasteful number, since it uses less digits than its factorization.

96609984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 478 (or 468 counting only the distinct ones).

The product of its (nonzero) digits is 839808, while the sum is 51.

The square root of 96609984 is about 9829.0377962444. The cubic root of 96609984 is about 458.8534521074.

The spelling of 96609984 in words is "ninety-six million, six hundred nine thousand, nine hundred eighty-four".