1608400 has 30 divisors (see below), whose sum is σ = 3865142. Its totient is φ = 643200.

The previous prime is 1608379. The next prime is 1608401. The reversal of 1608400 is 48061.

It can be written as a sum of positive squares in 3 ways, for example, as 576 + 1607824 = 24^2 + 1268^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1608401) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1611 + ... + 2410.

2^1608400 is an apocalyptic number.

1608400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1608400 is an abundant number, since it is smaller than the sum of its proper divisors (2256742).

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

1608400 is a wasteful number, since it uses less digits than its factorization.

1608400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4039 (or 4028 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

The square root of 1608400 is about 1268.2271089990. The cubic root of 1608400 is about 117.1650336191.

The spelling of 1608400 in words is "one million, six hundred eight thousand, four hundred".