61657568 has 48 divisors (see below), whose sum is σ = 139275360. Its totient is φ = 26320896.

The previous prime is 61657559. The next prime is 61657579. The reversal of 61657568 is 86575616.

61657568 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 91280 + ... + 91952.

It is an arithmetic number, because the mean of its divisors is an integer number (2901570).

Almost surely, 2^61657568 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 61657568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69637680).

61657568 is an abundant number, since it is smaller than the sum of its proper divisors (77617792).

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

61657568 is a wasteful number, since it uses less digits than its factorization.

61657568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1099 (or 1091 counting only the distinct ones).

The product of its digits is 302400, while the sum is 44.

The square root of 61657568 is about 7852.2333128862. The cubic root of 61657568 is about 395.0591547362.

The spelling of 61657568 in words is "sixty-one million, six hundred fifty-seven thousand, five hundred sixty-eight".