1607328 has 36 divisors (see below), whose sum is σ = 4571658. Its totient is φ = 535680.

The previous prime is 1607327. The next prime is 1607357. The reversal of 1607328 is 8237061.

It can be written as a sum of positive squares in only one way, i.e., 1468944 + 138384 = 1212^2 + 372^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is not an unprimeable number, because it can be changed into a prime (1607321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2503 + ... + 3078.

2^1607328 is an apocalyptic number.

1607328 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1607328 is an abundant number, since it is smaller than the sum of its proper divisors (2964330).

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

1607328 is a wasteful number, since it uses less digits than its factorization.

1607328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5597 (or 5586 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 1607328 is about 1267.8044013175. The cubic root of 1607328 is about 117.1389976349.

The spelling of 1607328 in words is "one million, six hundred seven thousand, three hundred twenty-eight".