871530840 has 160 divisors (see below), whose sum is σ = 3101820480. Its totient is φ = 218723328.

The previous prime is 871530799. The next prime is 871530853. The reversal of 871530840 is 48035178.

871530840 is a `hidden beast` number, since 87 + 1 + 530 + 8 + 40 = 666.

It is a super-2 number, since 2×871530840² = 1519132010142211200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 871530795 and 871530804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 47169 + ... + 62991.

It is an arithmetic number, because the mean of its divisors is an integer number (19386378).

Almost surely, 2^871530840 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 871530840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1550910240).

871530840 is an abundant number, since it is smaller than the sum of its proper divisors (2230289640).

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

871530840 is a wasteful number, since it uses less digits than its factorization.

871530840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15863 (or 15850 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 871530840 is about 29521.7011704949. The cubic root of 871530840 is about 955.1998667963.

The spelling of 871530840 in words is "eight hundred seventy-one million, five hundred thirty thousand, eight hundred forty".