95805696 has 144 divisors (see below), whose sum is σ = 296690688. Its totient is φ = 26880000.

The previous prime is 95805679. The next prime is 95805709. The reversal of 95805696 is 69650859.

It is a Harshad number since it is a multiple of its sum of digits (48).

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 15 ways as a sum of consecutive naturals, for example, 381571 + ... + 381821.

It is an arithmetic number, because the mean of its divisors is an integer number (2060352).

Almost surely, 2^95805696 is an apocalyptic number.

95805696 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 95805696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148345344).

95805696 is an abundant number, since it is smaller than the sum of its proper divisors (200884992).

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

95805696 is a wasteful number, since it uses less digits than its factorization.

95805696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 348 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 48.

The square root of 95805696 is about 9788.0384143096. The cubic root of 95805696 is about 457.5765681516.

The spelling of 95805696 in words is "ninety-five million, eight hundred five thousand, six hundred ninety-six".