95677056 has 144 divisors (see below), whose sum is σ = 289644810. Its totient is φ = 30311424.

The previous prime is 95677051. The next prime is 95677069. The reversal of 95677056 is 65077659.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 88059456 + 7617600 = 9384^2 + 2760^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (95677051) 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 17 ways as a sum of consecutive naturals, for example, 609330 + ... + 609486.

Almost surely, 2^95677056 is an apocalyptic number.

95677056 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 95677056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144822405).

95677056 is an abundant number, since it is smaller than the sum of its proper divisors (193967754).

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

95677056 is a wasteful number, since it uses less digits than its factorization.

95677056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 396900, while the sum is 45.

The square root of 95677056 is about 9781.4649209615. The cubic root of 95677056 is about 457.3716777078.

The spelling of 95677056 in words is "ninety-five million, six hundred seventy-seven thousand, fifty-six".