96585468 has 72 divisors (see below), whose sum is σ = 263550672. Its totient is φ = 27449856.

The previous prime is 96585443. The next prime is 96585473. The reversal of 96585468 is 86458569.

It is a self number, because there is not a number n which added to its sum of digits gives 96585468.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 162580 + ... + 163172.

It is an arithmetic number, because the mean of its divisors is an integer number (3660426).

Almost surely, 2^96585468 is an apocalyptic number.

96585468 is a gapful number since it is divisible by the number (98) 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 96585468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131775336).

96585468 is an abundant number, since it is smaller than the sum of its proper divisors (166965204).

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

96585468 is a wasteful number, since it uses less digits than its factorization.

96585468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 891 (or 882 counting only the distinct ones).

The product of its digits is 2073600, while the sum is 51.

The square root of 96585468 is about 9827.7905960597. The cubic root of 96585468 is about 458.8146355433.

The spelling of 96585468 in words is "ninety-six million, five hundred eighty-five thousand, four hundred sixty-eight".