871936 has 40 divisors (see below), whose sum is σ = 1890504. Its totient is φ = 399360.

The previous prime is 871931. The next prime is 871957. The reversal of 871936 is 639178.

Its product of digits (9072) is a multiple of the sum of its prime factors (162).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (871931) by changing a digit.

871936 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6591 + ... + 6721.

2⁸⁷¹⁹³⁶ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 871936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (945252).

871936 is an abundant number, since it is smaller than the sum of its proper divisors (1018568).

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

871936 is a wasteful number, since it uses less digits than its factorization.

871936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 146 counting only the distinct ones).

The product of its digits is 9072, while the sum is 34.

The square root of 871936 is about 933.7751335306. The cubic root of 871936 is about 95.5347862639.

The spelling of 871936 in words is "eight hundred seventy-one thousand, nine hundred thirty-six".