61055568 has 180 divisors, whose sum is σ = 210873780. Its totient is φ = 16386048.

The previous prime is 61055567. The next prime is 61055597. The reversal of 61055568 is 86555016.

It can be written as a sum of positive squares in 2 ways, for example, as 48608784 + 12446784 = 6972^2 + 3528^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61055567) 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 35 ways as a sum of consecutive naturals, for example, 119698 + ... + 120206.

It is an arithmetic number, because the mean of its divisors is an integer number (1171521).

Almost surely, 2^61055568 is an apocalyptic number.

61055568 is a gapful number since it is divisible by the number (68) 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 61055568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105436890).

61055568 is an abundant number, since it is smaller than the sum of its proper divisors (149818212).

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

61055568 is a wasteful number, since it uses less digits than its factorization.

61055568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 554 (or 538 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 36.

The square root of 61055568 is about 7813.8062427987. The cubic root of 61055568 is about 393.7692138772.

The spelling of 61055568 in words is "sixty-one million, fifty-five thousand, five hundred sixty-eight".