95136768 has 220 divisors, whose sum is σ = 301187392. Its totient is φ = 29859840.

The previous prime is 95136761. The next prime is 95136787. The reversal of 95136768 is 86763159.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (95136761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2571246 + ... + 2571282.

Almost surely, 2^95136768 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 95136768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150593696).

95136768 is an abundant number, since it is smaller than the sum of its proper divisors (206050624).

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

95136768 is a wasteful number, since it uses less digits than its factorization.

95136768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 73 counting only the distinct ones).

The product of its digits is 272160, while the sum is 45.

The square root of 95136768 is about 9753.8078718006. The cubic root of 95136768 is about 456.5091266365.

The spelling of 95136768 in words is "ninety-five million, one hundred thirty-six thousand, seven hundred sixty-eight".