1826816000 has 136 divisors (see below), whose sum is σ = 4580145024. Its totient is φ = 727449600.

The previous prime is 1826815993. The next prime is 1826816011. The reversal of 1826816000 is 6186281.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8191889 + ... + 8192111.

Almost surely, 2^1826816000 is an apocalyptic number.

1826816000 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 1826816000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2290072512).

1826816000 is an abundant number, since it is smaller than the sum of its proper divisors (2753329024).

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

1826816000 is an frugal number, since it uses more digits than its factorization.

1826816000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270 (or 230 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 32.

The square root of 1826816000 is about 42741.2681140838. The cubic root of 1826816000 is about 1222.4513999384.

The spelling of 1826816000 in words is "one billion, eight hundred twenty-six million, eight hundred sixteen thousand".