871153920 has 576 divisors, whose sum is σ = 3818519040. Its totient is φ = 183140352.

The previous prime is 871153903. The next prime is 871153961. The reversal of 871153920 is 29351178.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3144822 + ... + 3145098.

Almost surely, 2^871153920 is an apocalyptic number.

871153920 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 871153920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1909259520).

871153920 is an abundant number, since it is smaller than the sum of its proper divisors (2947365120).

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

871153920 is a wasteful number, since it uses less digits than its factorization.

871153920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 327 (or 307 counting only the distinct ones).

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

The square root of 871153920 is about 29515.3167016720. The cubic root of 871153920 is about 955.0621452025.

The spelling of 871153920 in words is "eight hundred seventy-one million, one hundred fifty-three thousand, nine hundred twenty".