1606400 has 54 divisors (see below), whose sum is σ = 3991932. Its totient is φ = 640000.

The previous prime is 1606399. The next prime is 1606403. The reversal of 1606400 is 46061.

It is not an unprimeable number, because it can be changed into a prime (1606403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6275 + ... + 6525.

2^1606400 is an apocalyptic number.

1606400 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 1606400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1995966).

1606400 is an abundant number, since it is smaller than the sum of its proper divisors (2385532).

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

1606400 is an equidigital number, since it uses as much as digits as its factorization.

1606400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 277 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 1606400 is about 1267.4383614204. The cubic root of 1606400 is about 117.1164496719.

The spelling of 1606400 in words is "one million, six hundred six thousand, four hundred".