871335920 has 80 divisors (see below), whose sum is σ = 2493382080. Its totient is φ = 275761152.

The previous prime is 871335919. The next prime is 871335929. The reversal of 871335920 is 29533178.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (871335929) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52565 + ... + 67124.

It is an arithmetic number, because the mean of its divisors is an integer number (31167276).

Almost surely, 2^871335920 is an apocalyptic number.

871335920 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

871335920 is an abundant number, since it is smaller than the sum of its proper divisors (1622046160).

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

871335920 is a wasteful number, since it uses less digits than its factorization.

871335920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119722 (or 119716 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 38.

The square root of 871335920 is about 29518.3996856198. The cubic root of 871335920 is about 955.1286505594.

The spelling of 871335920 in words is "eight hundred seventy-one million, three hundred thirty-five thousand, nine hundred twenty".