1824796960 has 96 divisors (see below), whose sum is σ = 4966133760. Its totient is φ = 620669952.

The previous prime is 1824796937. The next prime is 1824796973. The reversal of 1824796960 is 696974281.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1824796898 and 1824796907.

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 15 ways as a sum of consecutive naturals, for example, 135826 + ... + 148654.

It is an arithmetic number, because the mean of its divisors is an integer number (51730560).

Almost surely, 2^1824796960 is an apocalyptic number.

1824796960 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 1824796960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2483066880).

1824796960 is an abundant number, since it is smaller than the sum of its proper divisors (3141336800).

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

1824796960 is a wasteful number, since it uses less digits than its factorization.

1824796960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12978 (or 12970 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 52.

The square root of 1824796960 is about 42717.6422570347. The cubic root of 1824796960 is about 1222.0008732425. Note that the first 3 decimals are identical.

The spelling of 1824796960 in words is "one billion, eight hundred twenty-four million, seven hundred ninety-six thousand, nine hundred sixty".