61805120 has 112 divisors (see below), whose sum is σ = 161300160. Its totient is φ = 22419456.

The previous prime is 61805111. The next prime is 61805123. The reversal of 61805120 is 2150816.

It is not an unprimeable number, because it can be changed into a prime (61805123) by changing a digit.

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, 345191 + ... + 345369.

It is an arithmetic number, because the mean of its divisors is an integer number (1440180).

Almost surely, 2^61805120 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 61805120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80650080).

61805120 is an abundant number, since it is smaller than the sum of its proper divisors (99495040).

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

61805120 is a wasteful number, since it uses less digits than its factorization.

61805120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292 (or 282 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 23.

The square root of 61805120 is about 7861.6232420538. The cubic root of 61805120 is about 395.3740408234.

Adding to 61805120 its reverse (2150816), we get a palindrome (63955936).

The spelling of 61805120 in words is "sixty-one million, eight hundred five thousand, one hundred twenty".