871292160 has 288 divisors, whose sum is σ = 3275959680. Its totient is φ = 218529792.

The previous prime is 871292159. The next prime is 871292161. The reversal of 871292160 is 61292178.

It is an interprime number because it is at equal distance from previous prime (871292159) and next prime (871292161).

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a zygodrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (871292161) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 586779 + ... + 588261.

It is an arithmetic number, because the mean of its divisors is an integer number (11374860).

Almost surely, 2^871292160 is an apocalyptic number.

871292160 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 871292160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1637979840).

871292160 is an abundant number, since it is smaller than the sum of its proper divisors (2404667520).

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

871292160 is a wasteful number, since it uses less digits than its factorization.

871292160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1530 (or 1510 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 871292160 is about 29517.6584437181. The cubic root of 871292160 is about 955.1126608864.

The spelling of 871292160 in words is "eight hundred seventy-one million, two hundred ninety-two thousand, one hundred sixty".