1820113200 has 240 divisors, whose sum is σ = 6534184960. Its totient is φ = 481178880.

The previous prime is 1820113193. The next prime is 1820113237. The reversal of 1820113200 is 23110281.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1370937 + ... + 1372263.

Almost surely, 2^1820113200 is an apocalyptic number.

1820113200 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 1820113200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3267092480).

1820113200 is an abundant number, since it is smaller than the sum of its proper divisors (4714071760).

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

1820113200 is a wasteful number, since it uses less digits than its factorization.

1820113200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1481 (or 1464 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 1820113200 is about 42662.7847192374. The cubic root of 1820113200 is about 1220.9544622586.

Adding to 1820113200 its reverse (23110281), we get a palindrome (1843223481).

The spelling of 1820113200 in words is "one billion, eight hundred twenty million, one hundred thirteen thousand, two hundred".