61717760 has 72 divisors (see below), whose sum is σ = 159248040. Its totient is φ = 22781952.

The previous prime is 61717759. The next prime is 61717783. The reversal of 61717760 is 6771716.

61717760 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 1024 + 61716736 = 32^2 + 7856^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 61717760.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 14786 + ... + 18494.

Almost surely, 2^61717760 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 61717760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79624020).

61717760 is an abundant number, since it is smaller than the sum of its proper divisors (97530280).

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

61717760 is a wasteful number, since it uses less digits than its factorization.

61717760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3743 (or 3729 counting only the distinct ones).

The product of its (nonzero) digits is 12348, while the sum is 35.

The square root of 61717760 is about 7856.0651728458. The cubic root of 61717760 is about 395.1876691941.

It can be divided in two parts, 6171 and 7760, that added together give a palindrome (13931).

The spelling of 61717760 in words is "sixty-one million, seven hundred seventeen thousand, seven hundred sixty".