96808464 has 120 divisors (see below), whose sum is σ = 280642752. Its totient is φ = 31138560.

The previous prime is 96808457. The next prime is 96808469. The reversal of 96808464 is 46480869.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (96808469) 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 23 ways as a sum of consecutive naturals, for example, 904699 + ... + 904805.

Almost surely, 2^96808464 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 96808464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140321376).

96808464 is an abundant number, since it is smaller than the sum of its proper divisors (183834288).

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

96808464 is a wasteful number, since it uses less digits than its factorization.

96808464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 96808464 is about 9839.1292297642. The cubic root of 96808464 is about 459.1674670506.

The spelling of 96808464 in words is "ninety-six million, eight hundred eight thousand, four hundred sixty-four".