96807872 has 56 divisors (see below), whose sum is σ = 220614240. Its totient is φ = 41287680.

The previous prime is 96807863. The next prime is 96807913. The reversal of 96807872 is 27870869.

It is a tau number, because it is divible by the number of its divisors (56).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 125504 + ... + 126272.

It is an arithmetic number, because the mean of its divisors is an integer number (3939540).

Almost surely, 2^96807872 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 96807872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110307120).

96807872 is an abundant number, since it is smaller than the sum of its proper divisors (123806368).

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

96807872 is a wasteful number, since it uses less digits than its factorization.

96807872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1069 (or 1059 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 47.

The square root of 96807872 is about 9839.0991457552. The cubic root of 96807872 is about 459.1665310866.

It can be divided in two parts, 96807 and 872, that added together give a palindrome (97679).

The spelling of 96807872 in words is "ninety-six million, eight hundred seven thousand, eight hundred seventy-two".