95820116 has 96 divisors (see below), whose sum is σ = 216760320. Its totient is φ = 36115200.

The previous prime is 95820113. The next prime is 95820149. The reversal of 95820116 is 61102859.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (95820113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 501581 + ... + 501771.

It is an arithmetic number, because the mean of its divisors is an integer number (2257920).

Almost surely, 2^95820116 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 95820116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108380160).

95820116 is an abundant number, since it is smaller than the sum of its proper divisors (120940204).

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

95820116 is a wasteful number, since it uses less digits than its factorization.

95820116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285 (or 283 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 32.

The square root of 95820116 is about 9788.7749999681. The cubic root of 95820116 is about 457.5995240695.

The spelling of 95820116 in words is "ninety-five million, eight hundred twenty thousand, one hundred sixteen".