61085568 has 64 divisors (see below), whose sum is σ = 163134720. Its totient is φ = 20252160.

The previous prime is 61085567. The next prime is 61085579. The reversal of 61085568 is 86558016.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61085561) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 103771 + ... + 104357.

It is an arithmetic number, because the mean of its divisors is an integer number (2548980).

Almost surely, 2^61085568 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 61085568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81567360).

61085568 is an abundant number, since it is smaller than the sum of its proper divisors (102049152).

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

61085568 is a wasteful number, since it uses less digits than its factorization.

61085568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 875 (or 863 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 39.

The square root of 61085568 is about 7815.7256860768. The cubic root of 61085568 is about 393.8336968967.

The spelling of 61085568 in words is "sixty-one million, eighty-five thousand, five hundred sixty-eight".