96816864 has 96 divisors (see below), whose sum is σ = 264642336. Its totient is φ = 30965760.

The previous prime is 96816857. The next prime is 96816899. The reversal of 96816864 is 46861869.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

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, 344404 + ... + 344684.

It is an arithmetic number, because the mean of its divisors is an integer number (2756691).

Almost surely, 2^96816864 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 96816864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132321168).

96816864 is an abundant number, since it is smaller than the sum of its proper divisors (167825472).

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

96816864 is a wasteful number, since it uses less digits than its factorization.

96816864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 428 (or 420 counting only the distinct ones).

The product of its digits is 497664, while the sum is 48.

The square root of 96816864 is about 9839.5560875479. The cubic root of 96816864 is about 459.1807472088.

The spelling of 96816864 in words is "ninety-six million, eight hundred sixteen thousand, eight hundred sixty-four".