96095600 has 60 divisors (see below), whose sum is σ = 233868960. Its totient is φ = 37939200.

The previous prime is 96095591. The next prime is 96095603. The reversal of 96095600 is 659069.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96095603) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 30080 + ... + 33120.

It is an arithmetic number, because the mean of its divisors is an integer number (3897816).

Almost surely, 2^96095600 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 96095600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116934480).

96095600 is an abundant number, since it is smaller than the sum of its proper divisors (137773360).

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

96095600 is a wasteful number, since it uses less digits than its factorization.

96095600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3138 (or 3127 counting only the distinct ones).

The product of its (nonzero) digits is 14580, while the sum is 35.

The square root of 96095600 is about 9802.8363242482. The cubic root of 96095600 is about 458.0376392094.

The spelling of 96095600 in words is "ninety-six million, ninety-five thousand, six hundred".