96885504 has 144 divisors (see below), whose sum is σ = 291392640. Its totient is φ = 31749120.

The previous prime is 96885479. The next prime is 96885511. The reversal of 96885504 is 40558869.

96885504 is a `hidden beast` number, since 9 + 68 + 85 + 504 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a self number, because there is not a number n which added to its sum of digits gives 96885504.

It is an unprimeable number.

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, 739519 + ... + 739649.

It is an arithmetic number, because the mean of its divisors is an integer number (2023560).

Almost surely, 2^96885504 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 96885504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145696320).

96885504 is an abundant number, since it is smaller than the sum of its proper divisors (194507136).

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

96885504 is a wasteful number, since it uses less digits than its factorization.

96885504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The square root of 96885504 is about 9843.0434317847. The cubic root of 96885504 is about 459.2892363008.

The spelling of 96885504 in words is "ninety-six million, eight hundred eighty-five thousand, five hundred four".