871028640 has 288 divisors, whose sum is σ = 3160213056. Its totient is φ = 226437120.

The previous prime is 871028633. The next prime is 871028687. The reversal of 871028640 is 46820178.

871028640 is a `hidden beast` number, since 8 + 7 + 1 + 0 + 2 + 8 + 640 = 666.

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 junction number, because it is equal to n+sod(n) for n = 871028595 and 871028604.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 1671580 + ... + 1672100.

It is an arithmetic number, because the mean of its divisors is an integer number (10972962).

Almost surely, 2^871028640 is an apocalyptic number.

871028640 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 871028640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1580106528).

871028640 is an abundant number, since it is smaller than the sum of its proper divisors (2289184416).

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

871028640 is a wasteful number, since it uses less digits than its factorization.

871028640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 594 (or 574 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 871028640 is about 29513.1943374485. The cubic root of 871028640 is about 955.0163607478.

The spelling of 871028640 in words is "eight hundred seventy-one million, twenty-eight thousand, six hundred forty".