611712 has 80 divisors (see below), whose sum is σ = 1851300. Its totient is φ = 200448.

The previous prime is 611707. The next prime is 611729. The reversal of 611712 is 217116.

Added to its reverse (217116) it gives a triangular number (828828 = T₁₂₈₇).

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

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

611712 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 10339 + ... + 10397.

2⁶¹¹⁷¹² 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 611712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (925650).

611712 is an abundant number, since it is smaller than the sum of its proper divisors (1239588).

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

611712 is an equidigital number, since it uses as much as digits as its factorization.

611712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85 (or 64 counting only the distinct ones).

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

The square root of 611712 is about 782.1201953664. The cubic root of 611712 is about 84.8885274613. Note that the first 3 decimals are identical.

Adding to 611712 its reverse (217116), we get a palindrome (828828).

The spelling of 611712 in words is "six hundred eleven thousand, seven hundred twelve".