8382056160 has 96 divisors (see below), whose sum is σ = 26463749760. Its totient is φ = 2230112768.

The previous prime is 8382056153. The next prime is 8382056161. The reversal of 8382056160 is 616502838.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8382056161) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 192931 + ... + 232349.

It is an arithmetic number, because the mean of its divisors is an integer number (275664060).

Almost surely, 2^8382056160 is an apocalyptic number.

8382056160 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8382056160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13231874880).

8382056160 is an abundant number, since it is smaller than the sum of its proper divisors (18081693600).

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

8382056160 is a wasteful number, since it uses less digits than its factorization.

8382056160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39880 (or 39872 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 39.

The square root of 8382056160 is about 91553.5698921675. The cubic root of 8382056160 is about 2031.3442171556.

Adding to 8382056160 its reverse (616502838), we get a palindrome (8998558998).

The spelling of 8382056160 in words is "eight billion, three hundred eighty-two million, fifty-six thousand, one hundred sixty".