96788448 has 144 divisors (see below), whose sum is σ = 292795776. Its totient is φ = 30274560.

The previous prime is 96788423. The next prime is 96788449. The reversal of 96788448 is 84488769.

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 96788394 and 96788403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96788449) 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, 330190 + ... + 330482.

It is an arithmetic number, because the mean of its divisors is an integer number (2033304).

Almost surely, 2^96788448 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 96788448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146397888).

96788448 is an abundant number, since it is smaller than the sum of its proper divisors (196007328).

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

96788448 is a wasteful number, since it uses less digits than its factorization.

96788448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 377 (or 366 counting only the distinct ones).

The product of its digits is 3096576, while the sum is 54.

The square root of 96788448 is about 9838.1120139994. The cubic root of 96788448 is about 459.1358192341.

It can be divided in two parts, 96 and 788448, that added together give a square (788544 = 888²).

The spelling of 96788448 in words is "ninety-six million, seven hundred eighty-eight thousand, four hundred forty-eight".