1830826900 has 144 divisors (see below), whose sum is σ = 4846939776. Its totient is φ = 585953280.

The previous prime is 1830826891. The next prime is 1830826913. The reversal of 1830826900 is 96280381.

It is a super-2 number, since 2×1830826900² = 6703854275527220000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1830826900.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1629739 + ... + 1630861.

It is an arithmetic number, because the mean of its divisors is an integer number (33659304).

Almost surely, 2^1830826900 is an apocalyptic number.

1830826900 is a gapful number since it is divisible by the number (10) 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 1830826900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2423469888).

1830826900 is an abundant number, since it is smaller than the sum of its proper divisors (3016112876).

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

1830826900 is a wasteful number, since it uses less digits than its factorization.

1830826900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1298 (or 1291 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 37.

The square root of 1830826900 is about 42788.1630827966. The cubic root of 1830826900 is about 1223.3454046446.

The spelling of 1830826900 in words is "one billion, eight hundred thirty million, eight hundred twenty-six thousand, nine hundred".