871416000 has 1008 divisors, whose sum is σ = 4110593760. Its totient is φ = 174182400.

The previous prime is 871415977. The next prime is 871416043. The reversal of 871416000 is 614178.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a zygodrome in base 2.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 45863991 + ... + 45864009.

It is an arithmetic number, because the mean of its divisors is an integer number (4077970).

Almost surely, 2^871416000 is an apocalyptic number.

871416000 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 871416000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2055296880).

871416000 is an abundant number, since it is smaller than the sum of its proper divisors (3239177760).

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

871416000 is a wasteful number, since it uses less digits than its factorization.

871416000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 871416000 is about 29519.7560965534. The cubic root of 871416000 is about 955.1579099826.

The spelling of 871416000 in words is "eight hundred seventy-one million, four hundred sixteen thousand".