61116 has 24 divisors (see below), whose sum is σ = 155904. Its totient is φ = 18480.

The previous prime is 61099. The next prime is 61121.

61116 is nontrivially palindromic in base 10.

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

It is a junction number, because it is equal to n+sod(n) for n = 61095 and 61104.

It is a congruent number.

It is an unprimeable number.

61116 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 (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 100 + ... + 363.

It is an arithmetic number, because the mean of its divisors is an integer number (6496).

2⁶¹¹¹⁶ is an apocalyptic number.

61116 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

61116 is an abundant number, since it is smaller than the sum of its proper divisors (94788).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77952).

61116 is a wasteful number, since it uses less digits than its factorization.

61116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 481 (or 479 counting only the distinct ones).

The product of its digits is 36, while the sum is 15.

The square root of 61116 is about 247.2165043034. The cubic root of 61116 is about 39.3899086905.

The spelling of 61116 in words is "sixty-one thousand, one hundred sixteen".