1823313960 has 288 divisors, whose sum is σ = 6700786560. Its totient is φ = 428972544.

The previous prime is 1823313941. The next prime is 1823314021. The reversal of 1823313960 is 693133281.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 71 ways as a sum of consecutive naturals, for example, 1398669 + ... + 1399971.

It is an arithmetic number, because the mean of its divisors is an integer number (23266620).

Almost surely, 2^1823313960 is an apocalyptic number.

1823313960 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 1823313960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3350393280).

1823313960 is an abundant number, since it is smaller than the sum of its proper divisors (4877472600).

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

1823313960 is a wasteful number, since it uses less digits than its factorization.

1823313960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1369 (or 1349 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 1823313960 is about 42700.2805611392. The cubic root of 1823313960 is about 1221.6697462761.

The spelling of 1823313960 in words is "one billion, eight hundred twenty-three million, three hundred thirteen thousand, nine hundred sixty".