6419820 has 96 divisors (see below), whose sum is σ = 20030976. Its totient is φ = 1523200.

The previous prime is 6419813. The next prime is 6419843. The reversal of 6419820 is 289146.

6419820 = 265² + 266² + ... + 335².

6419820 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an Ulam number.

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 31 ways as a sum of consecutive naturals, for example, 46792 + ... + 46928.

It is an arithmetic number, because the mean of its divisors is an integer number (208656).

Almost surely, 2^6419820 is an apocalyptic number.

6419820 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 6419820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10015488).

6419820 is an abundant number, since it is smaller than the sum of its proper divisors (13611156).

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

6419820 is a wasteful number, since it uses less digits than its factorization.

6419820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 6419820 is about 2533.7363714483. The cubic root of 6419820 is about 185.8550147752.

The spelling of 6419820 in words is "six million, four hundred nineteen thousand, eight hundred twenty".