42085960 has 128 divisors (see below), whose sum is σ = 115084800. Its totient is φ = 13547520.

The previous prime is 42085957. The next prime is 42085961. The reversal of 42085960 is 6958024.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (42085961) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 576484 + ... + 576556.

It is an arithmetic number, because the mean of its divisors is an integer number (899100).

Almost surely, 2^42085960 is an apocalyptic number.

42085960 is a gapful number since it is divisible by the number (40) 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 42085960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57542400).

42085960 is an abundant number, since it is smaller than the sum of its proper divisors (72998840).

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

42085960 is a wasteful number, since it uses less digits than its factorization.

42085960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 34.

The square root of 42085960 is about 6487.3692665055. The cubic root of 42085960 is about 347.8396451508.

The spelling of 42085960 in words is "forty-two million, eighty-five thousand, nine hundred sixty".