42715968 has 112 divisors (see below), whose sum is σ = 125089920. Its totient is φ = 12795904.

The previous prime is 42715963. The next prime is 42715993. The reversal of 42715968 is 86951724.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42715961) 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 15 ways as a sum of consecutive naturals, for example, 74788 + ... + 75356.

Almost surely, 2^42715968 is an apocalyptic number.

42715968 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 42715968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62544960).

42715968 is an abundant number, since it is smaller than the sum of its proper divisors (82373952).

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

42715968 is a wasteful number, since it uses less digits than its factorization.

42715968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 624 (or 614 counting only the distinct ones).

The product of its digits is 120960, while the sum is 42.

The square root of 42715968 is about 6535.7454050781. The cubic root of 42715968 is about 349.5667237186.

The spelling of 42715968 in words is "forty-two million, seven hundred fifteen thousand, nine hundred sixty-eight".