871505040 has 160 divisors (see below), whose sum is σ = 3097230336. Its totient is φ = 198581760.

The previous prime is 871505039. The next prime is 871505083. The reversal of 871505040 is 40505178.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 871504989 and 871505007.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 743655 + ... + 744825.

Almost surely, 2^871505040 is an apocalyptic number.

871505040 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 871505040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1548615168).

871505040 is an abundant number, since it is smaller than the sum of its proper divisors (2225725296).

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

871505040 is a wasteful number, since it uses less digits than its factorization.

871505040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1637 (or 1631 counting only the distinct ones).

The product of its (nonzero) digits is 5600, while the sum is 30.

The square root of 871505040 is about 29521.2642005724. The cubic root of 871505040 is about 955.1904410829.

The spelling of 871505040 in words is "eight hundred seventy-one million, five hundred five thousand, forty".