1609600 has 48 divisors (see below), whose sum is σ = 3984120. Its totient is φ = 642560.

The previous prime is 1609589. The next prime is 1609627. The reversal of 1609600 is 69061.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2949 + ... + 3451.

2^1609600 is an apocalyptic number.

1609600 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 1609600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1992060).

1609600 is an abundant number, since it is smaller than the sum of its proper divisors (2374520).

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

1609600 is an equidigital number, since it uses as much as digits as its factorization.

1609600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 527 (or 510 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 22.

The square root of 1609600 is about 1268.7001221723. The cubic root of 1609600 is about 117.1941646580.

It can be divided in two parts, 1609 and 600, that added together give a square (2209 = 47²).

The spelling of 1609600 in words is "one million, six hundred nine thousand, six hundred".