93682346960 has 160 divisors (see below), whose sum is σ = 241939872000. Its totient is φ = 33574514688.

The previous prime is 93682346959. The next prime is 93682346963. The reversal of 93682346960 is 6964328639.

It is a junction number, because it is equal to n+sod(n) for n = 93682346896 and 93682346905.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (93682346963) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3096386 + ... + 3126494.

It is an arithmetic number, because the mean of its divisors is an integer number (1512124200).

Almost surely, 2^93682346960 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 93682346960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120969936000).

93682346960 is an abundant number, since it is smaller than the sum of its proper divisors (148257525040).

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

93682346960 is a wasteful number, since it uses less digits than its factorization.

93682346960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30253 (or 30247 counting only the distinct ones).

The product of its (nonzero) digits is 10077696, while the sum is 56.

The spelling of 93682346960 in words is "ninety-three billion, six hundred eighty-two million, three hundred forty-six thousand, nine hundred sixty".