96967938360 has 128 divisors (see below), whose sum is σ = 304524334080. Its totient is φ = 24654609408.

The previous prime is 96967938323. The next prime is 96967938371. The reversal of 96967938360 is 6383976969.

It is a junction number, because it is equal to n+sod(n) for n = 96967938291 and 96967938300.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 807757 + ... + 920003.

It is an arithmetic number, because the mean of its divisors is an integer number (2379096360).

Almost surely, 2^96967938360 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 96967938360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152262167040).

96967938360 is an abundant number, since it is smaller than the sum of its proper divisors (207556395720).

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

96967938360 is a wasteful number, since it uses less digits than its factorization.

96967938360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112597 (or 112593 counting only the distinct ones).

The product of its (nonzero) digits is 79361856, while the sum is 66.

The spelling of 96967938360 in words is "ninety-six billion, nine hundred sixty-seven million, nine hundred thirty-eight thousand, three hundred sixty".