96784480 has 192 divisors, whose sum is σ = 270950400. Its totient is φ = 32348160.

The previous prime is 96784463. The next prime is 96784487. The reversal of 96784480 is 8448769.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 96784480.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96784487) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1225081 + ... + 1225159.

It is an arithmetic number, because the mean of its divisors is an integer number (1411200).

Almost surely, 2^96784480 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 96784480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135475200).

96784480 is an abundant number, since it is smaller than the sum of its proper divisors (174165920).

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

96784480 is a wasteful number, since it uses less digits than its factorization.

96784480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 46.

The square root of 96784480 is about 9837.9103472231. The cubic root of 96784480 is about 459.1295448082.

The spelling of 96784480 in words is "ninety-six million, seven hundred eighty-four thousand, four hundred eighty".