1609200 has 120 divisors (see below), whose sum is σ = 5766000. Its totient is φ = 426240.

The previous prime is 1609199. The next prime is 1609211. The reversal of 1609200 is 29061.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10726 + ... + 10874.

It is an arithmetic number, because the mean of its divisors is an integer number (48050).

2^1609200 is an apocalyptic number.

1609200 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 1609200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2883000).

1609200 is an abundant number, since it is smaller than the sum of its proper divisors (4156800).

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

1609200 is a wasteful number, since it uses less digits than its factorization.

1609200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 1609200 is about 1268.5424707120. The cubic root of 1609200 is about 117.1844559209.

The spelling of 1609200 in words is "one million, six hundred nine thousand, two hundred".