6407985 has 16 divisors (see below), whose sum is σ = 10607040. Its totient is φ = 3299520.

The previous prime is 6407981. The next prime is 6408023. The reversal of 6407985 is 5897046.

It is not a de Polignac number, because 6407985 - 2² = 6407981 is a prime.

It is a super-4 number, since 4×6407985⁴ (a number of 28 digits) contains 4444 as substring.

It is not an unprimeable number, because it can be changed into a prime (6407981) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6931 + ... + 7800.

It is an arithmetic number, because the mean of its divisors is an integer number (662940).

Almost surely, 2^6407985 is an apocalyptic number.

It is an amenable number.

6407985 is a deficient number, since it is larger than the sum of its proper divisors (4199055).

6407985 is a wasteful number, since it uses less digits than its factorization.

6407985 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14768.

The product of its (nonzero) digits is 60480, while the sum is 39.

The square root of 6407985 is about 2531.3998103816. The cubic root of 6407985 is about 185.7407360185.

The spelling of 6407985 in words is "six million, four hundred seven thousand, nine hundred eighty-five".