871531920 has 160 divisors (see below), whose sum is σ = 3430851840. Its totient is φ = 199203840.

The previous prime is 871531909. The next prime is 871531931. The reversal of 871531920 is 29135178.

It is an interprime number because it is at equal distance from previous prime (871531909) and next prime (871531931).

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

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, 13701 + ... + 43940.

It is an arithmetic number, because the mean of its divisors is an integer number (21442824).

Almost surely, 2^871531920 is an apocalyptic number.

871531920 is a gapful number since it is divisible by the number (80) 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 871531920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1715425920).

871531920 is an abundant number, since it is smaller than the sum of its proper divisors (2559319920).

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

871531920 is a wasteful number, since it uses less digits than its factorization.

871531920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57670 (or 57658 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The square root of 871531920 is about 29521.7194621181. The cubic root of 871531920 is about 955.2002613570.

The spelling of 871531920 in words is "eight hundred seventy-one million, five hundred thirty-one thousand, nine hundred twenty".