95755968 has 336 divisors, whose sum is σ = 365174784. Its totient is φ = 23224320.

The previous prime is 95755937. The next prime is 95756009. The reversal of 95755968 is 86955759.

It is a happy number.

95755968 is a `hidden beast` number, since 9 + 575 + 5 + 9 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

Its product of digits (3402000) is a multiple of the sum of its prime factors (180).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 753921 + ... + 754047.

Almost surely, 2^95755968 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 95755968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182587392).

95755968 is an abundant number, since it is smaller than the sum of its proper divisors (269418816).

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

95755968 is a wasteful number, since it uses less digits than its factorization.

95755968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 167 counting only the distinct ones).

The product of its digits is 3402000, while the sum is 54.

The square root of 95755968 is about 9785.4978411934. The cubic root of 95755968 is about 457.4973859924.

The spelling of 95755968 in words is "ninety-five million, seven hundred fifty-five thousand, nine hundred sixty-eight".