1609128 has 24 divisors (see below), whose sum is σ = 4358250. Its totient is φ = 536352.

The previous prime is 1609109. The next prime is 1609141. The reversal of 1609128 is 8219061.

It can be written as a sum of positive squares in only one way, i.e., 1542564 + 66564 = 1242^2 + 258^2 .

It is a tau number, because it is divible by the number of its divisors (24).

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, 11103 + ... + 11246.

2^1609128 is an apocalyptic number.

1609128 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1609128 is an abundant number, since it is smaller than the sum of its proper divisors (2749122).

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

1609128 is a wasteful number, since it uses less digits than its factorization.

1609128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22361 (or 22354 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 1609128 is about 1268.5140913683. The cubic root of 1609128 is about 117.1827081774.

The spelling of 1609128 in words is "one million, six hundred nine thousand, one hundred twenty-eight".