61753968 has 40 divisors (see below), whose sum is σ = 177258000. Its totient is φ = 20584512.

The previous prime is 61753949. The next prime is 61753969. The reversal of 61753968 is 86935716.

It is a happy number.

61753968 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 not an unprimeable number, because it can be changed into a prime (61753969) 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, 71043 + ... + 71906.

It is an arithmetic number, because the mean of its divisors is an integer number (4431450).

Almost surely, 2^61753968 is an apocalyptic number.

It is an amenable number.

61753968 is an abundant number, since it is smaller than the sum of its proper divisors (115504032).

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

61753968 is a wasteful number, since it uses less digits than its factorization.

61753968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142966 (or 142954 counting only the distinct ones).

The product of its digits is 272160, while the sum is 45.

The square root of 61753968 is about 7858.3692964889. The cubic root of 61753968 is about 395.2649357584.

The spelling of 61753968 in words is "sixty-one million, seven hundred fifty-three thousand, nine hundred sixty-eight".