1530604160 has 128 divisors (see below), whose sum is σ = 3798867600. Its totient is φ = 589234176.

The previous prime is 1530604151. The next prime is 1530604171. The reversal of 1530604160 is 614060351.

It can be written as a sum of positive squares in 8 ways, for example, as 1217172544 + 313431616 = 34888^2 + 17704^2 .

It is a tau number, because it is divible by the number of its divisors (128).

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, 2580824 + ... + 2581416.

Almost surely, 2^1530604160 is an apocalyptic number.

1530604160 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 1530604160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1899433800).

1530604160 is an abundant number, since it is smaller than the sum of its proper divisors (2268263440).

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

1530604160 is a wasteful number, since it uses less digits than its factorization.

1530604160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 758 (or 746 counting only the distinct ones).

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

The square root of 1530604160 is about 39122.9364951048. The cubic root of 1530604160 is about 1152.4470037413.

The spelling of 1530604160 in words is "one billion, five hundred thirty million, six hundred four thousand, one hundred sixty".