6412640 has 48 divisors (see below), whose sum is σ = 16320528. Its totient is φ = 2366976.

The previous prime is 6412619. The next prime is 6412643. The reversal of 6412640 is 462146.

It is a happy number.

It is a super-2 number, since 2×6412640² = 82243903539200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6412643) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 539 + ... + 3621.

It is an arithmetic number, because the mean of its divisors is an integer number (340011).

Almost surely, 2^6412640 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6412640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8160264).

6412640 is an abundant number, since it is smaller than the sum of its proper divisors (9907888).

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

6412640 is a wasteful number, since it uses less digits than its factorization.

6412640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3111 (or 3103 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

The square root of 6412640 is about 2532.3190952169. The cubic root of 6412640 is about 185.7857014715.

Adding to 6412640 its reverse (462146), we get a palindrome (6874786).

The spelling of 6412640 in words is "six million, four hundred twelve thousand, six hundred forty".