42395968 has 56 divisors (see below), whose sum is σ = 87562944. Its totient is φ = 20352000.

The previous prime is 42395959. The next prime is 42395989. The reversal of 42395968 is 86959324.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 280693 + ... + 280843.

It is an arithmetic number, because the mean of its divisors is an integer number (1563624).

Almost surely, 2^42395968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42395968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43781472).

42395968 is an abundant number, since it is smaller than the sum of its proper divisors (45166976).

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

42395968 is a wasteful number, since it uses less digits than its factorization.

42395968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 311 (or 301 counting only the distinct ones).

The product of its digits is 466560, while the sum is 46.

The square root of 42395968 is about 6511.2186263402. The cubic root of 42395968 is about 348.6916266856.

The spelling of 42395968 in words is "forty-two million, three hundred ninety-five thousand, nine hundred sixty-eight".