42960768 has 64 divisors (see below), whose sum is σ = 120845520. Its totient is φ = 13475840.

The previous prime is 42960763. The next prime is 42960779. The reversal of 42960768 is 86706924.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42960763) 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 7 ways as a sum of consecutive naturals, for example, 3238 + ... + 9818.

Almost surely, 2^42960768 is an apocalyptic number.

42960768 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 42960768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60422760).

42960768 is an abundant number, since it is smaller than the sum of its proper divisors (77884752).

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

42960768 is a wasteful number, since it uses less digits than its factorization.

42960768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6615 (or 6603 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The square root of 42960768 is about 6554.4464297147. The cubic root of 42960768 is about 350.2332268648.

The spelling of 42960768 in words is "forty-two million, nine hundred sixty thousand, seven hundred sixty-eight".