871014768 has 160 divisors (see below), whose sum is σ = 2533171200. Its totient is φ = 256048128.

The previous prime is 871014733. The next prime is 871014769. The reversal of 871014768 is 867410178.

It is a happy number.

871014768 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (871014769) 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, 2298003 + ... + 2298381.

It is an arithmetic number, because the mean of its divisors is an integer number (15832320).

Almost surely, 2^871014768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 871014768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1266585600).

871014768 is an abundant number, since it is smaller than the sum of its proper divisors (1662156432).

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

871014768 is a wasteful number, since it uses less digits than its factorization.

871014768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 559 (or 553 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 42.

The square root of 871014768 is about 29512.9593229822. The cubic root of 871014768 is about 955.0112908582.

It can be divided in two parts, 87 and 1014768, that multiplied together give a square (88284816 = 9396²).

The spelling of 871014768 in words is "eight hundred seventy-one million, fourteen thousand, seven hundred sixty-eight".