61186160 has 80 divisors (see below), whose sum is σ = 167030976. Its totient is φ = 20404224.

The previous prime is 61186133. The next prime is 61186171. The reversal of 61186160 is 6168116.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable 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 15 ways as a sum of consecutive naturals, for example, 19244 + ... + 22196.

Almost surely, 2^61186160 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 61186160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83515488).

61186160 is an abundant number, since it is smaller than the sum of its proper divisors (105844816).

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

61186160 is a wasteful number, since it uses less digits than its factorization.

61186160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3010 (or 3004 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 29.

The square root of 61186160 is about 7822.1582699406. The cubic root of 61186160 is about 394.0497588045.

The spelling of 61186160 in words is "sixty-one million, one hundred eighty-six thousand, one hundred sixty".