42471968 has 72 divisors (see below), whose sum is σ = 105106176. Its totient is φ = 16536960.

The previous prime is 42471937. The next prime is 42471971. The reversal of 42471968 is 86917424.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 26321 + ... + 27887.

It is an arithmetic number, because the mean of its divisors is an integer number (1459808).

Almost surely, 2^42471968 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 42471968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52553088).

42471968 is an abundant number, since it is smaller than the sum of its proper divisors (62634208).

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

42471968 is a wasteful number, since it uses less digits than its factorization.

42471968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1606 (or 1587 counting only the distinct ones).

The product of its digits is 96768, while the sum is 41.

The square root of 42471968 is about 6517.0520943138. The cubic root of 42471968 is about 348.8998598852.

The spelling of 42471968 in words is "forty-two million, four hundred seventy-one thousand, nine hundred sixty-eight".