871914240 has 144 divisors (see below), whose sum is σ = 3094207200. Its totient is φ = 232501248.

The previous prime is 871914229. The next prime is 871914257. The reversal of 871914240 is 42419178.

It is a tau number, because it is divible by the number of its divisors (144).

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 = 871914195 and 871914204.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21946 + ... + 47174.

It is an arithmetic number, because the mean of its divisors is an integer number (21487550).

Almost surely, 2^871914240 is an apocalyptic number.

871914240 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 871914240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1547103600).

871914240 is an abundant number, since it is smaller than the sum of its proper divisors (2222292960).

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

871914240 is a wasteful number, since it uses less digits than its factorization.

871914240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25259 (or 25239 counting only the distinct ones).

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

The square root of 871914240 is about 29528.1939847326. The cubic root of 871914240 is about 955.3399153647.

The spelling of 871914240 in words is "eight hundred seventy-one million, nine hundred fourteen thousand, two hundred forty".