1809321696 has 576 divisors, whose sum is σ = 6974263296. Its totient is φ = 431308800.

The previous prime is 1809321691. The next prime is 1809321733. The reversal of 1809321696 is 6961239081.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1809321691) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13811551 + ... + 13811681.

It is an arithmetic number, because the mean of its divisors is an integer number (12108096).

Almost surely, 2^1809321696 is an apocalyptic number.

1809321696 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 1809321696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3487131648).

1809321696 is an abundant number, since it is smaller than the sum of its proper divisors (5164941600).

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

1809321696 is a wasteful number, since it uses less digits than its factorization.

1809321696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The square root of 1809321696 is about 42536.1222492131. The cubic root of 1809321696 is about 1218.5366527061.

The spelling of 1809321696 in words is "one billion, eight hundred nine million, three hundred twenty-one thousand, six hundred ninety-six".