96288336 has 120 divisors (see below), whose sum is σ = 282731904. Its totient is φ = 30558720.

The previous prime is 96288331. The next prime is 96288341. The reversal of 96288336 is 63388269.

It is an interprime number because it is at equal distance from previous prime (96288331) and next prime (96288341).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 96288291 and 96288300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96288331) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 277315 + ... + 277661.

Almost surely, 2^96288336 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 96288336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141365952).

96288336 is an abundant number, since it is smaller than the sum of its proper divisors (186443568).

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

96288336 is a wasteful number, since it uses less digits than its factorization.

96288336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 449 (or 440 counting only the distinct ones).

The product of its digits is 373248, while the sum is 45.

The square root of 96288336 is about 9812.6620241400. The cubic root of 96288336 is about 458.3436587279.

It can be divided in two parts, 962 and 88336, that added together give a palindrome (89298).

The spelling of 96288336 in words is "ninety-six million, two hundred eighty-eight thousand, three hundred thirty-six".