1781826048 has 120 divisors (see below), whose sum is σ = 5213899548. Its totient is φ = 585695232.

The previous prime is 1781826047. The next prime is 1781826097. The reversal of 1781826048 is 8406281871.

It can be written as a sum of positive squares in 2 ways, for example, as 1708003584 + 73822464 = 41328^2 + 8592^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1781825994 and 1781826012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1781826047) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 333736 + ... + 339032.

Almost surely, 2^1781826048 is an apocalyptic number.

1781826048 is a gapful number since it is divisible by the number (18) 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 1781826048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2606949774).

1781826048 is an abundant number, since it is smaller than the sum of its proper divisors (3432073500).

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

1781826048 is an equidigital number, since it uses as much as digits as its factorization.

1781826048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5394 (or 5375 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 45.

The square root of 1781826048 is about 42211.6814164042. The cubic root of 1781826048 is about 1212.3325558691.

The spelling of 1781826048 in words is "one billion, seven hundred eighty-one million, eight hundred twenty-six thousand, forty-eight".