711816 has 64 divisors (see below), whose sum is σ = 2150400. Its totient is φ = 191808.

The previous prime is 711811. The next prime is 711817. The reversal of 711816 is 618117.

It is a Harshad number since it is a multiple of its sum of digits (24).

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

It is not an unprimeable number, because it can be changed into a prime (711811) by changing a digit.

711816 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 15 ways as a sum of consecutive naturals, for example, 3081 + ... + 3303.

It is an arithmetic number, because the mean of its divisors is an integer number (33600).

2⁷¹¹⁸¹⁶ is an apocalyptic number.

711816 is a gapful number since it is divisible by the number (76) 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 711816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1075200).

711816 is an abundant number, since it is smaller than the sum of its proper divisors (1438584).

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

711816 is a wasteful number, since it uses less digits than its factorization.

711816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258 (or 254 counting only the distinct ones).

The product of its digits is 336, while the sum is 24.

The square root of 711816 is about 843.6918868876. The cubic root of 711816 is about 89.2872091788.

The spelling of 711816 in words is "seven hundred eleven thousand, eight hundred sixteen".