871643136 has 192 divisors, whose sum is σ = 2861913600. Its totient is φ = 229736448.

The previous prime is 871643099. The next prime is 871643147. The reversal of 871643136 is 631346178.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 871643094 and 871643103.

It is a congruent number.

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, 558325 + ... + 559883.

It is an arithmetic number, because the mean of its divisors is an integer number (14905800).

Almost surely, 2^871643136 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 871643136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1430956800).

871643136 is an abundant number, since it is smaller than the sum of its proper divisors (1990270464).

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

871643136 is a wasteful number, since it uses less digits than its factorization.

871643136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1604 (or 1584 counting only the distinct ones).

The product of its digits is 72576, while the sum is 39.

The square root of 871643136 is about 29523.6030321504. The cubic root of 871643136 is about 955.2408905951.

The spelling of 871643136 in words is "eight hundred seventy-one million, six hundred forty-three thousand, one hundred thirty-six".