1800838656 has 200 divisors, whose sum is σ = 5427636984. Its totient is φ = 594432000.

The previous prime is 1800838649. The next prime is 1800838657. The reversal of 1800838656 is 6568380081.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1800838657) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 7174531 + ... + 7174781.

Almost surely, 2^1800838656 is an apocalyptic number.

1800838656 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 1800838656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2713818492).

1800838656 is an abundant number, since it is smaller than the sum of its proper divisors (3626798328).

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

1800838656 is an equidigital number, since it uses as much as digits as its factorization.

1800838656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 454 (or 429 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The square root of 1800838656 is about 42436.2893759575. The cubic root of 1800838656 is about 1216.6292910851.

It can be divided in two parts, 1800 and 838656, that added together give a triangular number (840456 = T₁₂₉₆).

The spelling of 1800838656 in words is "one billion, eight hundred million, eight hundred thirty-eight thousand, six hundred fifty-six".