42085680 has 320 divisors, whose sum is σ = 167989248. Its totient is φ = 8478720.

The previous prime is 42085679. The next prime is 42085711. The reversal of 42085680 is 8658024.

It is a super-2 number, since 2×42085680² = 3542408922124800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 895417 + ... + 895463.

Almost surely, 2^42085680 is an apocalyptic number.

42085680 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 42085680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83994624).

42085680 is an abundant number, since it is smaller than the sum of its proper divisors (125903568).

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

42085680 is a wasteful number, since it uses less digits than its factorization.

42085680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 33.

The square root of 42085680 is about 6487.3476860733. The cubic root of 42085680 is about 347.8388737509.

The spelling of 42085680 in words is "forty-two million, eighty-five thousand, six hundred eighty".