10871640 has 192 divisors, whose sum is σ = 40098240. Its totient is φ = 2534400.

The previous prime is 10871639. The next prime is 10871677. The reversal of 10871640 is 4617801.

It is a happy number.

10871640 is a `hidden beast` number, since 10 + 8 + 7 + 1 + 640 = 666.

10871640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 107590 + ... + 107690.

It is an arithmetic number, because the mean of its divisors is an integer number (208845).

Almost surely, 2^10871640 is an apocalyptic number.

10871640 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 10871640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20049120).

10871640 is an abundant number, since it is smaller than the sum of its proper divisors (29226600).

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

10871640 is a wasteful number, since it uses less digits than its factorization.

10871640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 10871640 is about 3297.2170083269. The cubic root of 10871640 is about 221.5295613857.

It can be divided in two parts, 10871 and 640, that added together give a palindrome (11511).

The spelling of 10871640 in words is "ten million, eight hundred seventy-one thousand, six hundred forty".