61180560 has 240 divisors, whose sum is σ = 239865600. Its totient is φ = 13685760.

The previous prime is 61180549. The next prime is 61180591. The reversal of 61180560 is 6508116.

It is a tau number, because it is divible by the number of its divisors (240).

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 47 ways as a sum of consecutive naturals, for example, 307341 + ... + 307539.

It is an arithmetic number, because the mean of its divisors is an integer number (999440).

Almost surely, 2^61180560 is an apocalyptic number.

61180560 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 61180560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119932800).

61180560 is an abundant number, since it is smaller than the sum of its proper divisors (178685040).

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

61180560 is a wasteful number, since it uses less digits than its factorization.

61180560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286 (or 277 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 61180560 is about 7821.8003042778. The cubic root of 61180560 is about 394.0377367722.

Adding to 61180560 its reverse (6508116), we get a palindrome (67688676).

The spelling of 61180560 in words is "sixty-one million, one hundred eighty thousand, five hundred sixty".