8420000 has 60 divisors (see below), whose sum is σ = 20763666. Its totient is φ = 3360000.

The previous prime is 8419993. The next prime is 8420029. The reversal of 8420000 is 248.

It can be written as a sum of positive squares in 5 ways, for example, as 512656 + 7907344 = 716^2 + 2812^2 .

It is a hoax number, since the sum of its digits (14) coincides with the sum of the digits of its distinct prime factors.

It is a nialpdrome in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 19790 + ... + 20210.

Almost surely, 2^8420000 is an apocalyptic number.

8420000 is a gapful number since it is divisible by the number (80) 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 8420000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10381833).

8420000 is an abundant number, since it is smaller than the sum of its proper divisors (12343666).

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

8420000 is an equidigital number, since it uses as much as digits as its factorization.

8420000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 451 (or 428 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

The square root of 8420000 is about 2901.7236257094. The cubic root of 8420000 is about 203.4404762453.

Adding to 8420000 its reverse (248), we get a palindrome (8420248).

The spelling of 8420000 in words is "eight million, four hundred twenty thousand".