42085700 has 18 divisors (see below), whose sum is σ = 91326186. Its totient is φ = 16834240.

The previous prime is 42085679. The next prime is 42085711. The reversal of 42085700 is 758024.

It can be written as a sum of positive squares in 3 ways, for example, as 198916 + 41886784 = 446^2 + 6472^2 .

It is a super-2 number, since 2×42085700² = 3542412288980000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 42085700.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 210329 + ... + 210528.

It is an arithmetic number, because the mean of its divisors is an integer number (5073677).

Almost surely, 2^42085700 is an apocalyptic number.

It is an amenable number.

42085700 is an abundant number, since it is smaller than the sum of its proper divisors (49240486).

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

42085700 is a wasteful number, since it uses less digits than its factorization.

42085700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 420871 (or 420864 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 26.

The square root of 42085700 is about 6487.3492275351. The cubic root of 42085700 is about 347.8389288510.

The spelling of 42085700 in words is "forty-two million, eighty-five thousand, seven hundred".