871194240 has 768 divisors, whose sum is σ = 3849431040. Its totient is φ = 176947200.

The previous prime is 871194239. The next prime is 871194263. The reversal of 871194240 is 42491178.

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 = 871194195 and 871194204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 21248620 + ... + 21248660.

It is an arithmetic number, because the mean of its divisors is an integer number (5012280).

Almost surely, 2^871194240 is an apocalyptic number.

871194240 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 871194240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1924715520).

871194240 is an abundant number, since it is smaller than the sum of its proper divisors (2978236800).

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

871194240 is a wasteful number, since it uses less digits than its factorization.

871194240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 871194240 is about 29515.9997289606. Note that the first 3 decimals coincide. The cubic root of 871194240 is about 955.0768794957.

The spelling of 871194240 in words is "eight hundred seventy-one million, one hundred ninety-four thousand, two hundred forty".