42367968 has 48 divisors (see below), whose sum is σ = 123575760. Its totient is φ = 14122368.

The previous prime is 42367957. The next prime is 42368003. The reversal of 42367968 is 86976324.

42367968 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

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, 23655 + ... + 25382.

It is an arithmetic number, because the mean of its divisors is an integer number (2574495).

Almost surely, 2^42367968 is an apocalyptic number.

42367968 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

42367968 is an abundant number, since it is smaller than the sum of its proper divisors (81207792).

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

42367968 is a wasteful number, since it uses less digits than its factorization.

42367968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49056 (or 49042 counting only the distinct ones).

The product of its digits is 435456, while the sum is 45.

The square root of 42367968 is about 6509.0681360699. The cubic root of 42367968 is about 348.6148464620.

The spelling of 42367968 in words is "forty-two million, three hundred sixty-seven thousand, nine hundred sixty-eight".