1820416 has 36 divisors (see below), whose sum is σ = 3920392. Its totient is φ = 838656.

The previous prime is 1820407. The next prime is 1820419. The reversal of 1820416 is 6140281.

It is a hoax number, since the sum of its digits (22) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1820419) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3055 + ... + 3601.

2^1820416 is an apocalyptic number.

1820416 is a gapful number since it is divisible by the number (16) 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 1820416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1960196).

1820416 is an abundant number, since it is smaller than the sum of its proper divisors (2099976).

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

1820416 is an equidigital number, since it uses as much as digits as its factorization.

1820416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 576 (or 562 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 22.

The square root of 1820416 is about 1349.2279273718. The cubic root of 1820416 is about 122.1022165834.

Adding to 1820416 its reverse (6140281), we get a palindrome (7960697).

The spelling of 1820416 in words is "one million, eight hundred twenty thousand, four hundred sixteen".