95197824 has 96 divisors (see below), whose sum is σ = 290115540. Its totient is φ = 29859840.

The previous prime is 95197769. The next prime is 95197873. The reversal of 95197824 is 42879159.

It can be written as a sum of positive squares in 2 ways, for example, as 81000000 + 14197824 = 9000^2 + 3768^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 95197824.

It is an unprimeable number.

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, 17154 + ... + 22014.

Almost surely, 2^95197824 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 95197824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145057770).

95197824 is an abundant number, since it is smaller than the sum of its proper divisors (194917716).

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

95197824 is a wasteful number, since it uses less digits than its factorization.

95197824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4898 (or 4883 counting only the distinct ones).

The product of its digits is 181440, while the sum is 45.

The square root of 95197824 is about 9756.9372243548. The cubic root of 95197824 is about 456.6067638288.

The spelling of 95197824 in words is "ninety-five million, one hundred ninety-seven thousand, eight hundred twenty-four".