95895648 has 144 divisors (see below), whose sum is σ = 294368256. Its totient is φ = 29525760.

The previous prime is 95895619. The next prime is 95895659. The reversal of 95895648 is 84659859.

It is a happy number.

95895648 is a `hidden beast` number, since 9 + 589 + 56 + 4 + 8 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 95895594 and 95895603.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 205111 + ... + 205577.

It is an arithmetic number, because the mean of its divisors is an integer number (2044224).

Almost surely, 2^95895648 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 95895648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147184128).

95895648 is an abundant number, since it is smaller than the sum of its proper divisors (198472608).

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

95895648 is a wasteful number, since it uses less digits than its factorization.

95895648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 537 (or 526 counting only the distinct ones).

The product of its digits is 3110400, while the sum is 54.

The square root of 95895648 is about 9792.6323325243. The cubic root of 95895648 is about 457.7197296204.

The spelling of 95895648 in words is "ninety-five million, eight hundred ninety-five thousand, six hundred forty-eight".