42907968 has 168 divisors, whose sum is σ = 133136640. Its totient is φ = 13685760.

The previous prime is 42907967. The next prime is 42907973. The reversal of 42907968 is 86970924.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42907961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 482068 + ... + 482156.

It is an arithmetic number, because the mean of its divisors is an integer number (792480).

Almost surely, 2^42907968 is an apocalyptic number.

42907968 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42907968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66568320).

42907968 is an abundant number, since it is smaller than the sum of its proper divisors (90228672).

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

42907968 is an equidigital number, since it uses as much as digits as its factorization.

42907968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 42907968 is about 6550.4173912813. The cubic root of 42907968 is about 350.0896858600.

The spelling of 42907968 in words is "forty-two million, nine hundred seven thousand, nine hundred sixty-eight".