95808096 has 144 divisors (see below), whose sum is σ = 290742480. Its totient is φ = 31072896.

The previous prime is 95808091. The next prime is 95808101. The reversal of 95808096 is 69080859.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is an interprime number because it is at equal distance from previous prime (95808091) and next prime (95808101).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (95808091) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2589390 + ... + 2589426.

It is an arithmetic number, because the mean of its divisors is an integer number (2019045).

Almost surely, 2^95808096 is an apocalyptic number.

95808096 is a gapful number since it is divisible by the number (96) 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 95808096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145371240).

95808096 is an abundant number, since it is smaller than the sum of its proper divisors (194934384).

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

95808096 is an frugal number, since it uses more digits than its factorization.

95808096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The square root of 95808096 is about 9788.1610121616. The cubic root of 95808096 is about 457.5803889912.

The spelling of 95808096 in words is "ninety-five million, eight hundred eight thousand, ninety-six".