1530320 has 80 divisors (see below), whose sum is σ = 4071168. Its totient is φ = 529920.

The previous prime is 1530313. The next prime is 1530329. The reversal of 1530320 is 230351.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 1530295 and 1530304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1530329) 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 15 ways as a sum of consecutive naturals, for example, 32537 + ... + 32583.

2^1530320 is an apocalyptic number.

1530320 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 1530320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2035584).

1530320 is an abundant number, since it is smaller than the sum of its proper divisors (2540848).

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

1530320 is a wasteful number, since it uses less digits than its factorization.

1530320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 14.

The square root of 1530320 is about 1237.0610332558. The cubic root of 1530320 is about 115.2375681228.

Adding to 1530320 its reverse (230351), we get a palindrome (1760671).

The spelling of 1530320 in words is "one million, five hundred thirty thousand, three hundred twenty".