6413040 has 80 divisors (see below), whose sum is σ = 22096800. Its totient is φ = 1709568.

The previous prime is 6413023. The next prime is 6413041. The reversal of 6413040 is 403146.

6413040 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×6413040² = 82254164083200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6413041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 676 + ... + 3644.

It is an arithmetic number, because the mean of its divisors is an integer number (276210).

Almost surely, 2^6413040 is an apocalyptic number.

6413040 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 6413040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11048400).

6413040 is an abundant number, since it is smaller than the sum of its proper divisors (15683760).

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

6413040 is a wasteful number, since it uses less digits than its factorization.

6413040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2991 (or 2979 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 6413040 is about 2532.3980729735. The cubic root of 6413040 is about 185.7895642974.

Adding to 6413040 its reverse (403146), we get a palindrome (6816186).

The spelling of 6413040 in words is "six million, four hundred thirteen thousand, forty".