8271360 has 120 divisors (see below), whose sum is σ = 28725840. Its totient is φ = 2199552.

The previous prime is 8271331. The next prime is 8271371. The reversal of 8271360 is 631728.

It is a tau number, because it is divible by the number of its divisors (120).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22861 + ... + 23219.

It is an arithmetic number, because the mean of its divisors is an integer number (239382).

Almost surely, 2^8271360 is an apocalyptic number.

8271360 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 8271360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14362920).

8271360 is an abundant number, since it is smaller than the sum of its proper divisors (20454480).

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

8271360 is a wasteful number, since it uses less digits than its factorization.

8271360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 388 (or 369 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 8271360 is about 2875.9972183575. The cubic root of 8271360 is about 202.2362363771.

It can be divided in two parts, 827 and 1360, that added together give a 7-th power (2187 = 3⁷).

The spelling of 8271360 in words is "eight million, two hundred seventy-one thousand, three hundred sixty".