1609216 has 40 divisors (see below), whose sum is σ = 3682800. Its totient is φ = 688128.

The previous prime is 1609211. The next prime is 1609219. The reversal of 1609216 is 6129061.

It is a super-2 number, since 2×1609216² = 5179152269312, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1609211) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3360 + ... + 3808.

It is an arithmetic number, because the mean of its divisors is an integer number (92070).

2^1609216 is an apocalyptic number.

1609216 is a gapful number since it is divisible by the number (16) 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 1609216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1841400).

1609216 is an abundant number, since it is smaller than the sum of its proper divisors (2073584).

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

1609216 is an frugal number, since it uses more digits than its factorization.

1609216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 474 (or 458 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 25.

The square root of 1609216 is about 1268.5487771465. The cubic root of 1609216 is about 117.1848443013.

The spelling of 1609216 in words is "one million, six hundred nine thousand, two hundred sixteen".