96795648 has 132 divisors (see below), whose sum is σ = 290592120. Its totient is φ = 32182272.

The previous prime is 96795641. The next prime is 96795653. The reversal of 96795648 is 84659769.

96795648 is a `hidden beast` number, since 9 + 6 + 79 + 564 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 96795594 and 96795603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96795641) 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, 248638 + ... + 249026.

Almost surely, 2^96795648 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 96795648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145296060).

96795648 is an abundant number, since it is smaller than the sum of its proper divisors (193796472).

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

96795648 is an equidigital number, since it uses as much as digits as its factorization.

96795648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 424 (or 394 counting only the distinct ones).

The product of its digits is 3265920, while the sum is 54.

The square root of 96795648 is about 9838.4779310623. The cubic root of 96795648 is about 459.1472038432.

The spelling of 96795648 in words is "ninety-six million, seven hundred ninety-five thousand, six hundred forty-eight".