61727840 has 48 divisors (see below), whose sum is σ = 149787792. Its totient is φ = 24021504.

The previous prime is 61727807. The next prime is 61727843. The reversal of 61727840 is 4872716.

It is a happy number.

61727840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 61727840.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61727843) 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 7 ways as a sum of consecutive naturals, for example, 707 + ... + 11133.

It is an arithmetic number, because the mean of its divisors is an integer number (3120579).

Almost surely, 2^61727840 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 61727840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74893896).

61727840 is an abundant number, since it is smaller than the sum of its proper divisors (88059952).

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

61727840 is a wasteful number, since it uses less digits than its factorization.

61727840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10479 (or 10471 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 35.

The square root of 61727840 is about 7856.7066891924. The cubic root of 61727840 is about 395.2091825848.

The spelling of 61727840 in words is "sixty-one million, seven hundred twenty-seven thousand, eight hundred forty".