10871360 has 56 divisors (see below), whose sum is σ = 26417016. Its totient is φ = 4259840.

The previous prime is 10871351. The next prime is 10871369. The reversal of 10871360 is 6317801.

It is an interprime number because it is at equal distance from previous prime (10871351) and next prime (10871369).

It can be written as a sum of positive squares in 4 ways, for example, as 4194304 + 6677056 = 2048^2 + 2584^2 .

It is a hoax number, since the sum of its digits (26) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10871369) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16640 + ... + 17280.

Almost surely, 2^10871360 is an apocalyptic number.

10871360 is a gapful number since it is divisible by the number (10) 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 10871360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13208508).

10871360 is an abundant number, since it is smaller than the sum of its proper divisors (15545656).

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

10871360 is an equidigital number, since it uses as much as digits as its factorization.

10871360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 711 (or 701 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 26.

The square root of 10871360 is about 3297.1745480032. The cubic root of 10871360 is about 221.5276595319.

The spelling of 10871360 in words is "ten million, eight hundred seventy-one thousand, three hundred sixty".