61116660 has 96 divisors (see below), whose sum is σ = 207446400. Its totient is φ = 14814720.

The previous prime is 61116647. The next prime is 61116661. The reversal of 61116660 is 6661116.

It is a super-2 number, since 2×61116660² = 7470492259111200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61116661) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 796 + ... + 11084.

It is an arithmetic number, because the mean of its divisors is an integer number (2160900).

Almost surely, 2^61116660 is an apocalyptic number.

61116660 is a gapful number since it is divisible by the number (60) 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 61116660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103723200).

61116660 is an abundant number, since it is smaller than the sum of its proper divisors (146329740).

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

61116660 is a wasteful number, since it uses less digits than its factorization.

61116660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10318 (or 10310 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 61116660 is about 7817.7144997755. The cubic root of 61116660 is about 393.9005048228.

Adding to 61116660 its reverse (6661116), we get a palindrome (67777776).

It can be divided in two parts, 61116 and 660, that added together give a triangular number (61776 = T₃₅₁).

The spelling of 61116660 in words is "sixty-one million, one hundred sixteen thousand, six hundred sixty".