1821007008 has 168 divisors, whose sum is σ = 5413970016. Its totient is φ = 602640000.

The previous prime is 1821006989. The next prime is 1821007009. The reversal of 1821007008 is 8007001281.

It is a super-2 number, since 2×1821007008² = 6632133046370224128, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (1821007009) by changing a digit.

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 27 ways as a sum of consecutive naturals, for example, 5855173 + ... + 5855483.

It is an arithmetic number, because the mean of its divisors is an integer number (32226012).

Almost surely, 2^1821007008 is an apocalyptic number.

1821007008 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 1821007008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2706985008).

1821007008 is an abundant number, since it is smaller than the sum of its proper divisors (3592963008).

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

1821007008 is an equidigital number, since it uses as much as digits as its factorization.

1821007008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 590 (or 567 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 27.

The square root of 1821007008 is about 42673.2586990963. The cubic root of 1821007008 is about 1221.1542887088.

Adding to 1821007008 its reverse (8007001281), we get a palindrome (9828008289).

The spelling of 1821007008 in words is "one billion, eight hundred twenty-one million, seven thousand, eight".