61687648 has 48 divisors (see below), whose sum is σ = 133385616. Its totient is φ = 27850240.

The previous prime is 61687609. The next prime is 61687651. The reversal of 61687648 is 84678616.

It is a happy number.

61687648 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 61687598 and 61687607.

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, 60390 + ... + 61402.

It is an arithmetic number, because the mean of its divisors is an integer number (2778867).

Almost surely, 2^61687648 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 61687648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66692808).

61687648 is an abundant number, since it is smaller than the sum of its proper divisors (71697968).

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

61687648 is a wasteful number, since it uses less digits than its factorization.

61687648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1207 (or 1199 counting only the distinct ones).

The product of its digits is 387072, while the sum is 46.

The square root of 61687648 is about 7854.1484579807. The cubic root of 61687648 is about 395.1233882538.

The spelling of 61687648 in words is "sixty-one million, six hundred eighty-seven thousand, six hundred forty-eight".