39541968 has 60 divisors (see below), whose sum is σ = 115483680. Its totient is φ = 12606528.

The previous prime is 39541963. The next prime is 39541973. The reversal of 39541968 is 86914593.

It is a happy number.

39541968 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (39541963) and next prime (39541973).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (39541961) 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 11 ways as a sum of consecutive naturals, for example, 2658 + ... + 9281.

It is an arithmetic number, because the mean of its divisors is an integer number (1924728).

Almost surely, 2^39541968 is an apocalyptic number.

It is an amenable number.

39541968 is an abundant number, since it is smaller than the sum of its proper divisors (75941712).

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

39541968 is a wasteful number, since it uses less digits than its factorization.

39541968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11976 (or 11967 counting only the distinct ones).

The product of its digits is 233280, while the sum is 45.

The square root of 39541968 is about 6288.2404534178. The cubic root of 39541968 is about 340.6848020356.

The spelling of 39541968 in words is "thirty-nine million, five hundred forty-one thousand, nine hundred sixty-eight".