8171280 has 200 divisors, whose sum is σ = 30878232. Its totient is φ = 1990656.

The previous prime is 8171263. The next prime is 8171287. The reversal of 8171280 is 821718.

It can be written as a sum of positive squares in 4 ways, for example, as 82944 + 8088336 = 288^2 + 2844^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8171287) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 84192 + ... + 84288.

Almost surely, 2^8171280 is an apocalyptic number.

8171280 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 8171280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15439116).

8171280 is an abundant number, since it is smaller than the sum of its proper divisors (22706952).

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

8171280 is a wasteful number, since it uses less digits than its factorization.

8171280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 27.

The square root of 8171280 is about 2858.5450844792. The cubic root of 8171280 is about 201.4172663900.

Adding to 8171280 its reverse (821718), we get a palindrome (8992998).

The spelling of 8171280 in words is "eight million, one hundred seventy-one thousand, two hundred eighty".