1533420 has 72 divisors (see below), whose sum is σ = 5320224. Its totient is φ = 350208.

The previous prime is 1533407. The next prime is 1533431. The reversal of 1533420 is 243351.

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

It is a junction number, because it is equal to n+sod(n) for n = 1533393 and 1533402.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 652 + ... + 1868.

It is an arithmetic number, because the mean of its divisors is an integer number (73892).

2^1533420 is an apocalyptic number.

1533420 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 1533420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2660112).

1533420 is an abundant number, since it is smaller than the sum of its proper divisors (3786804).

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

1533420 is a wasteful number, since it uses less digits than its factorization.

1533420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1239 (or 1234 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 1533420 is about 1238.3133690629. The cubic root of 1533420 is about 115.3153286591.

Adding to 1533420 its reverse (243351), we get a palindrome (1776771).

It can be divided in two parts, 1533 and 420, that added together give a triangular number (1953 = T₆₂).

The spelling of 1533420 in words is "one million, five hundred thirty-three thousand, four hundred twenty".