1038420 has 60 divisors (see below), whose sum is σ = 3262644. Its totient is φ = 276480.

The previous prime is 1038409. The next prime is 1038421. The reversal of 1038420 is 248301.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 685584 + 352836 = 828^2 + 594^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 1038393 and 1038402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1038421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1300 + ... + 1940.

2^1038420 is an apocalyptic number.

1038420 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 1038420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1631322).

1038420 is an abundant number, since it is smaller than the sum of its proper divisors (2224224).

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

1038420 is a wasteful number, since it uses less digits than its factorization.

1038420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 662 (or 651 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 1038420 is about 1019.0289495397. The cubic root of 1038420 is about 101.2646069461.

It can be divided in two parts, 10384 and 20, that added together give a square (10404 = 102²).

The spelling of 1038420 in words is "one million, thirty-eight thousand, four hundred twenty".