96205648 has 120 divisors (see below), whose sum is σ = 242762240. Its totient is φ = 36115200.

The previous prime is 96205643. The next prime is 96205649. The reversal of 96205648 is 84650269.

It is a happy number.

It is a super-3 number, since 3×96205648³ (a number of 25 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 96205648.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96205643) 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 23 ways as a sum of consecutive naturals, for example, 419998 + ... + 420226.

Almost surely, 2^96205648 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 96205648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121381120).

96205648 is an abundant number, since it is smaller than the sum of its proper divisors (146556592).

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

96205648 is a wasteful number, since it uses less digits than its factorization.

96205648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 40.

The square root of 96205648 is about 9808.4477874942. The cubic root of 96205648 is about 458.2124196599.

The spelling of 96205648 in words is "ninety-six million, two hundred five thousand, six hundred forty-eight".