871320240 has 480 divisors, whose sum is σ = 3661432320. Its totient is φ = 188116992.

The previous prime is 871320239. The next prime is 871320277. The reversal of 871320240 is 42023178.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 95 ways as a sum of consecutive naturals, for example, 2585352 + ... + 2585688.

It is an arithmetic number, because the mean of its divisors is an integer number (7627984).

Almost surely, 2^871320240 is an apocalyptic number.

871320240 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 871320240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1830716160).

871320240 is an abundant number, since it is smaller than the sum of its proper divisors (2790112080).

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

871320240 is a wasteful number, since it uses less digits than its factorization.

871320240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 391 (or 373 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 871320240 is about 29518.1340873708. The cubic root of 871320240 is about 955.1229212317.

The spelling of 871320240 in words is "eight hundred seventy-one million, three hundred twenty thousand, two hundred forty".