1528960 has 32 divisors (see below), whose sum is σ = 3656700. Its totient is φ = 611328.

The previous prime is 1528939. The next prime is 1528979. The reversal of 1528960 is 698251.

It can be written as a sum of positive squares in 2 ways, for example, as 1459264 + 69696 = 1208^2 + 264^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 555 + ... + 1834.

2^1528960 is an apocalyptic number.

1528960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1528960 is an abundant number, since it is smaller than the sum of its proper divisors (2127740).

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

1528960 is an equidigital number, since it uses as much as digits as its factorization.

1528960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2408 (or 2396 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 31.

The square root of 1528960 is about 1236.5112211379. The cubic root of 1528960 is about 115.2034206803.

The spelling of 1528960 in words is "one million, five hundred twenty-eight thousand, nine hundred sixty".