1604200 has 48 divisors (see below), whose sum is σ = 4023180. Its totient is φ = 591360.

The previous prime is 1604191. The next prime is 1604231. The reversal of 1604200 is 24061.

It can be written as a sum of positive squares in 6 ways, for example, as 31684 + 1572516 = 178^2 + 1254^2 .

It is a Harshad number since it is a multiple of its sum of digits (13).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2292 + ... + 2908.

2^1604200 is an apocalyptic number.

1604200 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 1604200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2011590).

1604200 is an abundant number, since it is smaller than the sum of its proper divisors (2418980).

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

1604200 is a wasteful number, since it uses less digits than its factorization.

1604200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 646 (or 637 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 1604200 is about 1266.5701717631. The cubic root of 1604200 is about 117.0629607317.

Adding to 1604200 its reverse (24061), we get a palindrome (1628261).

The spelling of 1604200 in words is "one million, six hundred four thousand, two hundred".