871416 has 144 divisors (see below), whose sum is σ = 3112200. Its totient is φ = 217728.

The previous prime is 871393. The next prime is 871439. The reversal of 871416 is 614178.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (871393) and next prime (871439).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 871416.

It is a congruent number.

It is an unprimeable number.

871416 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 45855 + ... + 45873.

2⁸⁷¹⁴¹⁶ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 871416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1556100).

871416 is an abundant number, since it is smaller than the sum of its proper divisors (2240784).

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

871416 is a wasteful number, since it uses less digits than its factorization.

871416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58 (or 44 counting only the distinct ones).

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

The square root of 871416 is about 933.4966523775. The cubic root of 871416 is about 95.5157909983.

The spelling of 871416 in words is "eight hundred seventy-one thousand, four hundred sixteen".