1530120 has 64 divisors (see below), whose sum is σ = 4717440. Its totient is φ = 396800.

The previous prime is 1530107. The next prime is 1530131. The reversal of 1530120 is 210351.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 1530096 and 1530105.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4765 + ... + 5075.

It is an arithmetic number, because the mean of its divisors is an integer number (73710).

2^1530120 is an apocalyptic number.

1530120 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 1530120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2358720).

1530120 is an abundant number, since it is smaller than the sum of its proper divisors (3187320).

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

1530120 is a wasteful number, since it uses less digits than its factorization.

1530120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 366 (or 362 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 12.

The square root of 1530120 is about 1236.9801938592. The cubic root of 1530120 is about 115.2325477092.

Adding to 1530120 its reverse (210351), we get a palindrome (1740471).

It can be divided in two parts, 15 and 30120, that added together give a triangular number (30135 = T₂₄₅).

The spelling of 1530120 in words is "one million, five hundred thirty thousand, one hundred twenty".