96335568 has 300 divisors, whose sum is σ = 341235972. Its totient is φ = 26127360.

The previous prime is 96335563. The next prime is 96335573. The reversal of 96335568 is 86553369.

96335568 is a `hidden beast` number, since 9 + 633 + 5 + 5 + 6 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (96335563) and next prime (96335573).

It can be written as a sum of positive squares in 2 ways, for example, as 42928704 + 53406864 = 6552^2 + 7308^2 .

Its product of digits (583200) is a multiple of the sum of its prime divisors (90).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96335563) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 2349628 + ... + 2349668.

Almost surely, 2^96335568 is an apocalyptic number.

96335568 is a gapful number since it is divisible by the number (98) 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 96335568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170617986).

96335568 is an abundant number, since it is smaller than the sum of its proper divisors (244900404).

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

96335568 is a wasteful number, since it uses less digits than its factorization.

96335568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 90 counting only the distinct ones).

The product of its digits is 583200, while the sum is 45.

The square root of 96335568 is about 9815.0684154518. The cubic root of 96335568 is about 458.4185897453.

The spelling of 96335568 in words is "ninety-six million, three hundred thirty-five thousand, five hundred sixty-eight".