1803864816 has 240 divisors, whose sum is σ = 5715571680. Its totient is φ = 547430400.

The previous prime is 1803864809. The next prime is 1803864817. The reversal of 1803864816 is 6184683081.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1803864817) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4498216 + ... + 4498616.

It is an arithmetic number, because the mean of its divisors is an integer number (23814882).

Almost surely, 2^1803864816 is an apocalyptic number.

1803864816 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 1803864816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2857785840).

1803864816 is an abundant number, since it is smaller than the sum of its proper divisors (3911706864).

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

1803864816 is a wasteful number, since it uses less digits than its factorization.

1803864816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 526 (or 508 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The square root of 1803864816 is about 42471.9297418895. The cubic root of 1803864816 is about 1217.3103912555.

The spelling of 1803864816 in words is "one billion, eight hundred three million, eight hundred sixty-four thousand, eight hundred sixteen".