95917536 has 288 divisors, whose sum is σ = 341778528. Its totient is φ = 25067520.

The previous prime is 95917531. The next prime is 95917537. The reversal of 95917536 is 63571959.

95917536 is a `hidden beast` number, since 9 + 591 + 7 + 53 + 6 = 666.

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

It is a super-2 number, since 2×95917536² = 18400347424622592, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 95917491 and 95917500.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (95917531) 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, 700060 + ... + 700196.

It is an arithmetic number, because the mean of its divisors is an integer number (1186731).

Almost surely, 2^95917536 is an apocalyptic number.

95917536 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 95917536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170889264).

95917536 is an abundant number, since it is smaller than the sum of its proper divisors (245860992).

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

95917536 is a wasteful number, since it uses less digits than its factorization.

95917536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194 (or 183 counting only the distinct ones).

The product of its digits is 255150, while the sum is 45.

The square root of 95917536 is about 9793.7498436503. The cubic root of 95917536 is about 457.7545515249.

The spelling of 95917536 in words is "ninety-five million, nine hundred seventeen thousand, five hundred thirty-six".