1604800 has 84 divisors (see below), whose sum is σ = 4251960. Its totient is φ = 593920.

The previous prime is 1604753. The next prime is 1604809. The reversal of 1604800 is 84061.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1604809) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 27171 + ... + 27229.

2^1604800 is an apocalyptic number.

1604800 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 1604800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2125980).

1604800 is an abundant number, since it is smaller than the sum of its proper divisors (2647160).

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

1604800 is a wasteful number, since it uses less digits than its factorization.

1604800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 83 counting only the distinct ones).

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

The square root of 1604800 is about 1266.8070097690. The cubic root of 1604800 is about 117.0775534719.

Adding to 1604800 its reverse (84061), we get a palindrome (1688861).

The spelling of 1604800 in words is "one million, six hundred four thousand, eight hundred".