95685216 has 144 divisors (see below), whose sum is σ = 290340288. Its totient is φ = 27360000.

The previous prime is 95685211. The next prime is 95685217. The reversal of 95685216 is 61258659.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (95685211) 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, 381091 + ... + 381341.

It is an arithmetic number, because the mean of its divisors is an integer number (2016252).

Almost surely, 2^95685216 is an apocalyptic number.

95685216 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 95685216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145170144).

95685216 is an abundant number, since it is smaller than the sum of its proper divisors (194655072).

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

95685216 is a wasteful number, since it uses less digits than its factorization.

95685216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 313 (or 286 counting only the distinct ones).

The product of its digits is 129600, while the sum is 42.

The square root of 95685216 is about 9781.8820275037. The cubic root of 95685216 is about 457.3846799431.

The spelling of 95685216 in words is "ninety-five million, six hundred eighty-five thousand, two hundred sixteen".