96583104 has 140 divisors (see below), whose sum is σ = 296029888. Its totient is φ = 31104000.

The previous prime is 96583093. The next prime is 96583127. The reversal of 96583104 is 40138569.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 160404 + ... + 161004.

Almost surely, 2^96583104 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 96583104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148014944).

96583104 is an abundant number, since it is smaller than the sum of its proper divisors (199446784).

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

96583104 is a wasteful number, since it uses less digits than its factorization.

96583104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 656 (or 637 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 96583104 is about 9827.6703241409. The cubic root of 96583104 is about 458.8108922381.

The spelling of 96583104 in words is "ninety-six million, five hundred eighty-three thousand, one hundred four".