611116 has 48 divisors (see below), whose sum is σ = 1330560. Its totient is φ = 241920.

The previous prime is 611113. The next prime is 611131.

611116 is nontrivially palindromic in base 10.

It is an Ulam number.

It is a nialpdrome in base 15.

It is a self number, because there is not a number n which added to its sum of digits gives 611116.

It is not an unprimeable number, because it can be changed into a prime (611111) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14191 + ... + 14233.

It is an arithmetic number, because the mean of its divisors is an integer number (27720).

2⁶¹¹¹¹⁶ is an apocalyptic number.

It is an amenable number.

611116 is an abundant number, since it is smaller than the sum of its proper divisors (719444).

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

611116 is a wasteful number, since it uses less digits than its factorization.

611116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 92 counting only the distinct ones).

The product of its digits is 36, while the sum is 16.

The square root of 611116 is about 781.7390869082. The cubic root of 611116 is about 84.8609491223.

It can be divided in two parts, 611 and 116, that multiplied together give a triangular number (70876 = T₃₇₆).

The spelling of 611116 in words is "six hundred eleven thousand, one hundred sixteen".