6386940 has 144 divisors (see below), whose sum is σ = 22905792. Its totient is φ = 1410048.

The previous prime is 6386923. The next prime is 6386953. The reversal of 6386940 is 496836.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a d-powerful number, because it can be written as 6⁴ + 3¹³ + 8³ + 6⁵ + 9⁷ + 4³ + 0 .

It is a junction number, because it is equal to n+sod(n) for n = 6386895 and 6386904.

It is a congruent number.

It is an unprimeable number.

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, 46552 + ... + 46688.

It is an arithmetic number, because the mean of its divisors is an integer number (159068).

Almost surely, 2^6386940 is an apocalyptic number.

6386940 is a gapful number since it is divisible by the number (60) 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 6386940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11452896).

6386940 is an abundant number, since it is smaller than the sum of its proper divisors (16518852).

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

6386940 is a wasteful number, since it uses less digits than its factorization.

6386940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 6386940 is about 2527.2396008293. The cubic root of 6386940 is about 185.5371774474.

The spelling of 6386940 in words is "six million, three hundred eighty-six thousand, nine hundred forty".