1812001600 has 84 divisors (see below), whose sum is σ = 4525471264. Its totient is φ = 713940480.

The previous prime is 1812001573. The next prime is 1812001619. The reversal of 1812001600 is 61002181.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 98749 + ... + 115651.

Almost surely, 2^1812001600 is an apocalyptic number.

1812001600 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 1812001600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2262735632).

1812001600 is an abundant number, since it is smaller than the sum of its proper divisors (2713469664).

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

1812001600 is a wasteful number, since it uses less digits than its factorization.

1812001600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16992 (or 16977 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 19.

The square root of 1812001600 is about 42567.6121012208. The cubic root of 1812001600 is about 1219.1379738723.

Adding to 1812001600 its reverse (61002181), we get a palindrome (1873003781).

The spelling of 1812001600 in words is "one billion, eight hundred twelve million, one thousand, six hundred".