61661106 has 48 divisors (see below), whose sum is σ = 145356120. Its totient is φ = 18777600.

The previous prime is 61661087. The next prime is 61661111. The reversal of 61661106 is 60116616.

It can be written as a sum of positive squares in 4 ways, for example, as 56115081 + 5546025 = 7491^2 + 2355^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 61661106.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22330 + ... + 24938.

Almost surely, 2^61661106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61661106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72678060).

61661106 is an abundant number, since it is smaller than the sum of its proper divisors (83695014).

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

61661106 is a wasteful number, since it uses less digits than its factorization.

61661106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2731 (or 2728 counting only the distinct ones).

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

The square root of 61661106 is about 7852.4585958794. The cubic root of 61661106 is about 395.0667109460.

The spelling of 61661106 in words is "sixty-one million, six hundred sixty-one thousand, one hundred six".