8170729120 has 96 divisors (see below), whose sum is σ = 20026757520. Its totient is φ = 3146465280.

The previous prime is 8170729103. The next prime is 8170729169. The reversal of 8170729120 is 219270718.

It can be written as a sum of positive squares in 8 ways, for example, as 3949368336 + 4221360784 = 62844^2 + 64972^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 8170729120.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1728360 + ... + 1733080.

Almost surely, 2^8170729120 is an apocalyptic number.

8170729120 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 8170729120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10013378760).

8170729120 is an abundant number, since it is smaller than the sum of its proper divisors (11856028400).

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

8170729120 is a wasteful number, since it uses less digits than its factorization.

8170729120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5138 (or 5130 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 37.

The square root of 8170729120 is about 90392.0854942511. The cubic root of 8170729120 is about 2014.1273999852.

Adding to 8170729120 its reverse (219270718), we get a palindrome (8389999838).

The spelling of 8170729120 in words is "eight billion, one hundred seventy million, seven hundred twenty-nine thousand, one hundred twenty".