10871040 has 144 divisors (see below), whose sum is σ = 36792000. Its totient is φ = 2727936.

The previous prime is 10871039. The next prime is 10871071. The reversal of 10871040 is 4017801.

It is a junction number, because it is equal to n+sod(n) for n = 10870998 and 10871016.

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, 72886 + ... + 73034.

It is an arithmetic number, because the mean of its divisors is an integer number (255500).

Almost surely, 2^10871040 is an apocalyptic number.

10871040 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 10871040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18396000).

10871040 is an abundant number, since it is smaller than the sum of its proper divisors (25920960).

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

10871040 is a wasteful number, since it uses less digits than its factorization.

10871040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 21.

The square root of 10871040 is about 3297.1260212494. The cubic root of 10871040 is about 221.5254859447.

Adding to 10871040 its reverse (4017801), we get a palindrome (14888841).

The spelling of 10871040 in words is "ten million, eight hundred seventy-one thousand, forty".