1530368 has 60 divisors (see below), whose sum is σ = 3615282. Its totient is φ = 645120.

The previous prime is 1530349. The next prime is 1530409. The reversal of 1530368 is 8630351.

It can be written as a sum of positive squares in only one way, i.e., 1517824 + 12544 = 1232^2 + 112^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 25058 + ... + 25118.

2^1530368 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1530368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1807641).

1530368 is an abundant number, since it is smaller than the sum of its proper divisors (2084914).

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

1530368 is an frugal number, since it uses more digits than its factorization.

1530368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 26.

The square root of 1530368 is about 1237.0804339250. The cubic root of 1530368 is about 115.2387729569.

The spelling of 1530368 in words is "one million, five hundred thirty thousand, three hundred sixty-eight".