6419840 has 64 divisors (see below), whose sum is σ = 17552160. Its totient is φ = 2199552.

The previous prime is 6419813. The next prime is 6419843. The reversal of 6419840 is 489146.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 6419797 and 6419806.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6419843) 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, 3764 + ... + 5196.

Almost surely, 2^6419840 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 6419840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8776080).

6419840 is an abundant number, since it is smaller than the sum of its proper divisors (11132320).

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

6419840 is a wasteful number, since it uses less digits than its factorization.

6419840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1459 (or 1447 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 32.

The square root of 6419840 is about 2533.7403181857. The cubic root of 6419840 is about 185.8552077763.

The spelling of 6419840 in words is "six million, four hundred nineteen thousand, eight hundred forty".