8175360960 has 336 divisors, whose sum is σ = 30804490080. Its totient is φ = 1977753600.

The previous prime is 8175360953. The next prime is 8175360961. The reversal of 8175360960 is 690635718.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8175360961) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2207110 + ... + 2210810.

It is an arithmetic number, because the mean of its divisors is an integer number (91680030).

Almost surely, 2^8175360960 is an apocalyptic number.

8175360960 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 8175360960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15402245040).

8175360960 is an abundant number, since it is smaller than the sum of its proper divisors (22629129120).

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

8175360960 is a wasteful number, since it uses less digits than its factorization.

8175360960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3796 (or 3783 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The square root of 8175360960 is about 90417.7026914531. The cubic root of 8175360960 is about 2014.5079190078.

The spelling of 8175360960 in words is "eight billion, one hundred seventy-five million, three hundred sixty thousand, nine hundred sixty".