61116132 has 108 divisors (see below), whose sum is σ = 182550480. Its totient is φ = 15855840.

The previous prime is 61116131. The next prime is 61116151. The reversal of 61116132 is 23161116.

61116132 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (21).

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 = 61116099 and 61116108.

It is not an unprimeable number, because it can be changed into a prime (61116131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 70719 + ... + 71577.

Almost surely, 2^61116132 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 61116132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91275240).

61116132 is an abundant number, since it is smaller than the sum of its proper divisors (121434348).

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

61116132 is a wasteful number, since it uses less digits than its factorization.

61116132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 902 (or 882 counting only the distinct ones).

The product of its digits is 216, while the sum is 21.

The square root of 61116132 is about 7817.6807302422. The cubic root of 61116132 is about 393.8993704891.

Adding to 61116132 its reverse (23161116), we get a palindrome (84277248).

The spelling of 61116132 in words is "sixty-one million, one hundred sixteen thousand, one hundred thirty-two".