6414240 has 192 divisors, whose sum is σ = 24385536. Its totient is φ = 1385472.

The previous prime is 6414193. The next prime is 6414269. The reversal of 6414240 is 424146.

6414240 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×6414240² = 82284949555200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 77239 + ... + 77321.

It is an arithmetic number, because the mean of its divisors is an integer number (127008).

Almost surely, 2^6414240 is an apocalyptic number.

6414240 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 6414240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12192768).

6414240 is an abundant number, since it is smaller than the sum of its proper divisors (17971296).

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

6414240 is a wasteful number, since it uses less digits than its factorization.

6414240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 6414240 is about 2532.6349914664. The cubic root of 6414240 is about 185.8011518114.

Adding to 6414240 its reverse (424146), we get a palindrome (6838386).

The spelling of 6414240 in words is "six million, four hundred fourteen thousand, two hundred forty".