1008420 has 72 divisors (see below), whose sum is σ = 3294144. Its totient is φ = 230496.

The previous prime is 1008419. The next prime is 1008421. The reversal of 1008420 is 248001.

1008420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1008419) and next prime (1008421).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1008420.

It is not an unprimeable number, because it can be changed into a prime (1008421) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 144057 + ... + 144063.

It is an arithmetic number, because the mean of its divisors is an integer number (45752).

2^1008420 is an apocalyptic number.

1008420 is a gapful number since it is divisible by the number (10) 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 1008420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1647072).

1008420 is an abundant number, since it is smaller than the sum of its proper divisors (2285724).

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

1008420 is an frugal number, since it uses more digits than its factorization.

1008420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 1008420 is about 1004.2011750640. The cubic root of 1008420 is about 100.2798825932.

The spelling of 1008420 in words is "one million, eight thousand, four hundred twenty".