61541560 has 64 divisors (see below), whose sum is σ = 145774080. Its totient is φ = 23337600.

The previous prime is 61541539. The next prime is 61541563. The reversal of 61541560 is 6514516.

61541560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nialpdrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61541563) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 138699 + ... + 139141.

It is an arithmetic number, because the mean of its divisors is an integer number (2277720).

Almost surely, 2^61541560 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 61541560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72887040).

61541560 is an abundant number, since it is smaller than the sum of its proper divisors (84232520).

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

61541560 is a wasteful number, since it uses less digits than its factorization.

61541560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 628 (or 624 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 28.

The square root of 61541560 is about 7844.8428919896. The cubic root of 61541560 is about 394.8112327758.

The spelling of 61541560 in words is "sixty-one million, five hundred forty-one thousand, five hundred sixty".