96591168 has 126 divisors (see below), whose sum is σ = 290334954. Its totient is φ = 30700032.

The previous prime is 96591149. The next prime is 96591181. The reversal of 96591168 is 86119569.

It can be written as a sum of positive squares in only one way, i.e., 59721984 + 36869184 = 7728^2 + 6072^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 304546 + ... + 304862.

Almost surely, 2^96591168 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 96591168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145167477).

96591168 is an abundant number, since it is smaller than the sum of its proper divisors (193743786).

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

96591168 is a wasteful number, since it uses less digits than its factorization.

96591168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 381 (or 345 counting only the distinct ones).

The product of its digits is 116640, while the sum is 45.

The square root of 96591168 is about 9828.0805857502. The cubic root of 96591168 is about 458.8236610279.

The spelling of 96591168 in words is "ninety-six million, five hundred ninety-one thousand, one hundred sixty-eight".