871381000 has 128 divisors (see below), whose sum is σ = 2343893760. Its totient is φ = 297024000.

The previous prime is 871380997. The next prime is 871381033. The reversal of 871381000 is 183178.

It is a happy number.

It is a super-2 number, since 2×871381000² = 1518609694322000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 871381000.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1966779 + ... + 1967221.

It is an arithmetic number, because the mean of its divisors is an integer number (18311670).

Almost surely, 2^871381000 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 871381000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1171946880).

871381000 is an abundant number, since it is smaller than the sum of its proper divisors (1472512760).

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

871381000 is a wasteful number, since it uses less digits than its factorization.

871381000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 752 (or 738 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 28.

The square root of 871381000 is about 29519.1632672744. The cubic root of 871381000 is about 955.1451219937.

The spelling of 871381000 in words is "eight hundred seventy-one million, three hundred eighty-one thousand".