95682816 has 144 divisors (see below), whose sum is σ = 287795200. Its totient is φ = 31352832.

The previous prime is 95682809. The next prime is 95682823. The reversal of 95682816 is 61828659.

95682816 is a `hidden beast` number, since 9 + 568 + 2 + 81 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (95682809) and next prime (95682823).

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

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 753345 + ... + 753471.

Almost surely, 2^95682816 is an apocalyptic number.

95682816 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 95682816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143897600).

95682816 is an abundant number, since it is smaller than the sum of its proper divisors (192112384).

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

95682816 is a wasteful number, since it uses less digits than its factorization.

95682816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261 (or 241 counting only the distinct ones).

The product of its digits is 207360, while the sum is 45.

The square root of 95682816 is about 9781.7593509552. The cubic root of 95682816 is about 457.3808558330.

Adding to 95682816 its sum of digits (45), we get a triangular number (95682861 = T₁₃₈₃₃).

The spelling of 95682816 in words is "ninety-five million, six hundred eighty-two thousand, eight hundred sixteen".