1530720 has 72 divisors (see below), whose sum is σ = 5228496. Its totient is φ = 407808.

The previous prime is 1530713. The next prime is 1530721. The reversal of 1530720 is 270351.

1530720 is nontrivially palindromic in base 14.

It is a tau number, because it is divible by the number of its divisors (72).

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 = 1530693 and 1530702.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1530721) 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 11 ways as a sum of consecutive naturals, for example, 909 + ... + 1971.

It is an arithmetic number, because the mean of its divisors is an integer number (72618).

2^1530720 is an apocalyptic number.

1530720 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 1530720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2614248).

1530720 is an abundant number, since it is smaller than the sum of its proper divisors (3697776).

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

1530720 is a wasteful number, since it uses less digits than its factorization.

1530720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1084 (or 1073 counting only the distinct ones).

The product of its (nonzero) digits is 210, while the sum is 18.

The square root of 1530720 is about 1237.2226962031. Note that the first 3 decimals coincide. The cubic root of 1530720 is about 115.2476076377.

The spelling of 1530720 in words is "one million, five hundred thirty thousand, seven hundred twenty".