1538420 has 48 divisors (see below), whose sum is σ = 3572688. Its totient is φ = 552960.

The previous prime is 1538419. The next prime is 1538429. The reversal of 1538420 is 248351.

It can be written as a sum of positive squares in 8 ways, for example, as 481636 + 1056784 = 694^2 + 1028^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1538429) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15812 + ... + 15908.

It is an arithmetic number, because the mean of its divisors is an integer number (74431).

2^1538420 is an apocalyptic number.

1538420 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 1538420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1786344).

1538420 is an abundant number, since it is smaller than the sum of its proper divisors (2034268).

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

1538420 is a wasteful number, since it uses less digits than its factorization.

1538420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 23.

The square root of 1538420 is about 1240.3306010899. The cubic root of 1538420 is about 115.4405283430.

The spelling of 1538420 in words is "one million, five hundred thirty-eight thousand, four hundred twenty".