871462368 has 192 divisors, whose sum is σ = 2939328000. Its totient is φ = 246039552.

The previous prime is 871462363. The next prime is 871462429. The reversal of 871462368 is 863264178.

871462368 is a `hidden beast` number, since 8 + 7 + 14 + 623 + 6 + 8 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (871462363) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 537463 + ... + 539081.

It is an arithmetic number, because the mean of its divisors is an integer number (15309000).

Almost surely, 2^871462368 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 871462368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1469664000).

871462368 is an abundant number, since it is smaller than the sum of its proper divisors (2067865632).

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

871462368 is a wasteful number, since it uses less digits than its factorization.

871462368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1734 (or 1720 counting only the distinct ones).

The product of its digits is 387072, while the sum is 45.

The square root of 871462368 is about 29520.5414584489. The cubic root of 871462368 is about 955.1748509830.

The spelling of 871462368 in words is "eight hundred seventy-one million, four hundred sixty-two thousand, three hundred sixty-eight".