1793948160 has 160 divisors (see below), whose sum is σ = 5790343680. Its totient is φ = 473776128.

The previous prime is 1793948147. The next prime is 1793948179. The reversal of 1793948160 is 618493971.

It is a happy number.

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

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 836049 + ... + 838191.

It is an arithmetic number, because the mean of its divisors is an integer number (36189648).

Almost surely, 2^1793948160 is an apocalyptic number.

1793948160 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 1793948160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2895171840).

1793948160 is an abundant number, since it is smaller than the sum of its proper divisors (3996395520).

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

1793948160 is a wasteful number, since it uses less digits than its factorization.

1793948160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2278 (or 2262 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 48.

The square root of 1793948160 is about 42355.0252036284. The cubic root of 1793948160 is about 1215.0755901421.

The spelling of 1793948160 in words is "one billion, seven hundred ninety-three million, nine hundred forty-eight thousand, one hundred sixty".