711216 has 60 divisors (see below), whose sum is σ = 2176200. Its totient is φ = 215040.

The previous prime is 711209. The next prime is 711223. The reversal of 711216 is 612117.

It is an interprime number because it is at equal distance from previous prime (711209) and next prime (711223).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

711216 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 11 ways as a sum of consecutive naturals, for example, 1360 + ... + 1808.

It is an arithmetic number, because the mean of its divisors is an integer number (36270).

2⁷¹¹²¹⁶ 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 711216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1088100).

711216 is an abundant number, since it is smaller than the sum of its proper divisors (1464984).

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

711216 is a wasteful number, since it uses less digits than its factorization.

711216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 474 (or 465 counting only the distinct ones).

The product of its digits is 84, while the sum is 18.

The square root of 711216 is about 843.3362318791. The cubic root of 711216 is about 89.2621149668.

Subtracting from 711216 its reverse (612117), we obtain a palindrome (99099).

The spelling of 711216 in words is "seven hundred eleven thousand, two hundred sixteen".