61186112 has 42 divisors (see below), whose sum is σ = 131497578. Its totient is φ = 28234752.

The previous prime is 61186093. The next prime is 61186117. The reversal of 61186112 is 21168116.

It can be written as a sum of positive squares in 3 ways, for example, as 3182656 + 58003456 = 1784^2 + 7616^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61186117) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 7988 + ... + 13644.

Almost surely, 2^61186112 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 61186112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65748789).

61186112 is an abundant number, since it is smaller than the sum of its proper divisors (70311466).

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

61186112 is a wasteful number, since it uses less digits than its factorization.

61186112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5695 (or 5672 counting only the distinct ones).

The product of its digits is 576, while the sum is 26.

The square root of 61186112 is about 7822.1552017331. The cubic root of 61186112 is about 394.0496557616.

The spelling of 61186112 in words is "sixty-one million, one hundred eighty-six thousand, one hundred twelve".