1793840640 has 160 divisors (see below), whose sum is σ = 5781701376. Its totient is φ = 474439680.

The previous prime is 1793840611. The next prime is 1793840669. The reversal of 1793840640 is 460483971.

It is an interprime number because it is at equal distance from previous prime (1793840611) and next prime (1793840669).

It is a tau number, because it is divible by the number of its divisors (160).

It is a junction number, because it is equal to n+sod(n) for n = 1793840592 and 1793840601.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1005189 + ... + 1006971.

Almost surely, 2^1793840640 is an apocalyptic number.

1793840640 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 1793840640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2890850688).

1793840640 is an abundant number, since it is smaller than the sum of its proper divisors (3987860736).

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

1793840640 is a wasteful number, since it uses less digits than its factorization.

1793840640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1940 (or 1924 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The square root of 1793840640 is about 42353.7559137321. The cubic root of 1793840640 is about 1215.0513145358.

The spelling of 1793840640 in words is "one billion, seven hundred ninety-three million, eight hundred forty thousand, six hundred forty".