95806368 has 288 divisors, whose sum is σ = 340139520. Its totient is φ = 26127360.

The previous prime is 95806367. The next prime is 95806369. The reversal of 95806368 is 86360859.

95806368 is a `hidden beast` number, since 9 + 5 + 8 + 0 + 636 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (95806367) and next prime (95806369).

It is a tau number, because it is divible by the number of its divisors (288).

It is not an unprimeable number, because it can be changed into a prime (95806363) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1312380 + ... + 1312452.

It is an arithmetic number, because the mean of its divisors is an integer number (1181040).

Almost surely, 2^95806368 is an apocalyptic number.

95806368 is a gapful number since it is divisible by the number (98) 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 95806368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170069760).

95806368 is an abundant number, since it is smaller than the sum of its proper divisors (244333152).

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

95806368 is a wasteful number, since it uses less digits than its factorization.

95806368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 95806368 is about 9788.0727418629. The cubic root of 95806368 is about 457.5776379931.

The spelling of 95806368 in words is "ninety-five million, eight hundred six thousand, three hundred sixty-eight".