95820256 has 48 divisors (see below), whose sum is σ = 222566400. Its totient is φ = 39738240.

The previous prime is 95820253. The next prime is 95820259. The reversal of 95820256 is 65202859.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (95820253) and next prime (95820259).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (95820253) 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 7 ways as a sum of consecutive naturals, for example, 45 + ... + 13843.

It is an arithmetic number, because the mean of its divisors is an integer number (4636800).

Almost surely, 2^95820256 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 95820256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111283200).

95820256 is an abundant number, since it is smaller than the sum of its proper divisors (126746144).

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

95820256 is a wasteful number, since it uses less digits than its factorization.

95820256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13847 (or 13839 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 37.

The square root of 95820256 is about 9788.7821510135. The cubic root of 95820256 is about 457.5997469313.

The spelling of 95820256 in words is "ninety-five million, eight hundred twenty thousand, two hundred fifty-six".