6935985 has 48 divisors (see below), whose sum is σ = 13942656. Its totient is φ = 3124224.

The previous prime is 6935977. The next prime is 6935989. The reversal of 6935985 is 5895396.

It is not a de Polignac number, because 6935985 - 2³ = 6935977 is a prime.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 6935985.

It is not an unprimeable number, because it can be changed into a prime (6935989) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 30442 + ... + 30668.

It is an arithmetic number, because the mean of its divisors is an integer number (290472).

Almost surely, 2^6935985 is an apocalyptic number.

It is an amenable number.

6935985 is an abundant number, since it is smaller than the sum of its proper divisors (7006671).

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

6935985 is a wasteful number, since it uses less digits than its factorization.

6935985 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342 (or 339 counting only the distinct ones).

The product of its digits is 291600, while the sum is 45.

The square root of 6935985 is about 2633.6258276376. The cubic root of 6935985 is about 190.7082064420.

The spelling of 6935985 in words is "six million, nine hundred thirty-five thousand, nine hundred eighty-five".