871525920 has 96 divisors (see below), whose sum is σ = 2750993280. Its totient is φ = 231925760.

The previous prime is 871525817. The next prime is 871525939. The reversal of 871525920 is 29525178.

871525920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

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, 271525 + ... + 274715.

It is an arithmetic number, because the mean of its divisors is an integer number (28656180).

Almost surely, 2^871525920 is an apocalyptic number.

871525920 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 871525920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1375496640).

871525920 is an abundant number, since it is smaller than the sum of its proper divisors (1879467360).

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

871525920 is a wasteful number, since it uses less digits than its factorization.

871525920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3778 (or 3770 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 39.

The square root of 871525920 is about 29521.6178418460. The cubic root of 871525920 is about 955.1980693490.

The spelling of 871525920 in words is "eight hundred seventy-one million, five hundred twenty-five thousand, nine hundred twenty".