95021568 has 120 divisors (see below), whose sum is σ = 290609748. Its totient is φ = 29786112.

The previous prime is 95021557. The next prime is 95021569. The reversal of 95021568 is 86512059.

It is a happy number.

95021568 is a `hidden beast` number, since 95 + 0 + 2 + 1 + 568 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 93083904 + 1937664 = 9648^2 + 1392^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (95021569) 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 11 ways as a sum of consecutive naturals, for example, 77730 + ... + 78942.

Almost surely, 2^95021568 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 95021568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145304874).

95021568 is an abundant number, since it is smaller than the sum of its proper divisors (195588180).

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

95021568 is a wasteful number, since it uses less digits than its factorization.

95021568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1254 (or 1235 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The square root of 95021568 is about 9747.9006970732. The cubic root of 95021568 is about 456.3247916922.

The spelling of 95021568 in words is "ninety-five million, twenty-one thousand, five hundred sixty-eight".