816420 has 48 divisors (see below), whose sum is σ = 2495808. Its totient is φ = 197760.

The previous prime is 816401. The next prime is 816427. The reversal of 816420 is 24618.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 816420.

It is not an unprimeable number, because it can be changed into a prime (816427) by changing a digit.

816420 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42 + ... + 1278.

It is an arithmetic number, because the mean of its divisors is an integer number (51996).

2⁸¹⁶⁴²⁰ 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 816420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1247904).

816420 is an abundant number, since it is smaller than the sum of its proper divisors (1679388).

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

816420 is a wasteful number, since it uses less digits than its factorization.

816420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1260 (or 1258 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 816420 is about 903.5596272521. The cubic root of 816420 is about 93.4626043178.

The spelling of 816420 in words is "eight hundred sixteen thousand, four hundred twenty".