1793064960 has 264 divisors, whose sum is σ = 6543112680. Its totient is φ = 452984832.

The previous prime is 1793064947. The next prime is 1793064971. The reversal of 1793064960 is 694603971.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 94371831 + ... + 94371849.

Almost surely, 2^1793064960 is an apocalyptic number.

1793064960 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 1793064960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3271556340).

1793064960 is an abundant number, since it is smaller than the sum of its proper divisors (4750047720).

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

1793064960 is an frugal number, since it uses more digits than its factorization.

1793064960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The square root of 1793064960 is about 42344.5977664212. The cubic root of 1793064960 is about 1214.8761546278.

The spelling of 1793064960 in words is "one billion, seven hundred ninety-three million, sixty-four thousand, nine hundred sixty".