96834480 has 80 divisors (see below), whose sum is σ = 310560480. Its totient is φ = 24930304.

The previous prime is 96834407. The next prime is 96834539. The reversal of 96834480 is 8443869.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4 + ... + 13916.

It is an arithmetic number, because the mean of its divisors is an integer number (3882006).

Almost surely, 2^96834480 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 96834480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155280240).

96834480 is an abundant number, since it is smaller than the sum of its proper divisors (213726000).

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

96834480 is a wasteful number, since it uses less digits than its factorization.

96834480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13958 (or 13952 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 42.

The square root of 96834480 is about 9840.4512091672. The cubic root of 96834480 is about 459.2085951035.

The spelling of 96834480 in words is "ninety-six million, eight hundred thirty-four thousand, four hundred eighty".