61727616 has 128 divisors (see below), whose sum is σ = 186170400. Its totient is φ = 20127744.

The previous prime is 61727609. The next prime is 61727621. The reversal of 61727616 is 61672716.

61727616 is a `hidden beast` number, since 6 + 17 + 27 + 616 = 666.

61727616 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

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

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 15 ways as a sum of consecutive naturals, for example, 183000 + ... + 183336.

Almost surely, 2^61727616 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 61727616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93085200).

61727616 is an abundant number, since it is smaller than the sum of its proper divisors (124442784).

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

61727616 is a wasteful number, since it uses less digits than its factorization.

61727616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 413 (or 395 counting only the distinct ones).

The product of its digits is 21168, while the sum is 36.

The square root of 61727616 is about 7856.6924338426. The cubic root of 61727616 is about 395.2087045349.

The spelling of 61727616 in words is "sixty-one million, seven hundred twenty-seven thousand, six hundred sixteen".