6287940 has 72 divisors (see below), whose sum is σ = 19278168. Its totient is φ = 1658880.

The previous prime is 6287929. The next prime is 6287959. The reversal of 6287940 is 497826.

It can be written as a sum of positive squares in 4 ways, for example, as 147456 + 6140484 = 384^2 + 2478^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 6287895 and 6287904.

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 23 ways as a sum of consecutive naturals, for example, 32484 + ... + 32676.

Almost surely, 2^6287940 is an apocalyptic number.

6287940 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 6287940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9639084).

6287940 is an abundant number, since it is smaller than the sum of its proper divisors (12990228).

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

6287940 is a wasteful number, since it uses less digits than its factorization.

6287940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 389 (or 384 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 6287940 is about 2507.5765192711. The cubic root of 6287940 is about 184.5735490140.

It can be divided in two parts, 6287 and 940, that added together give a palindrome (7227).

The spelling of 6287940 in words is "six million, two hundred eighty-seven thousand, nine hundred forty".