1792160 has 48 divisors (see below), whose sum is σ = 4427136. Its totient is φ = 684288.

The previous prime is 1792159. The next prime is 1792163. The reversal of 1792160 is 612971.

It is not an unprimeable number, because it can be changed into a prime (1792163) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3437 + ... + 3923.

It is an arithmetic number, because the mean of its divisors is an integer number (92232).

2^1792160 is an apocalyptic number.

1792160 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 1792160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2213568).

1792160 is an abundant number, since it is smaller than the sum of its proper divisors (2634976).

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

1792160 is a wasteful number, since it uses less digits than its factorization.

1792160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 525 (or 517 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 26.

The square root of 1792160 is about 1338.7158025511. The cubic root of 1792160 is about 121.4671737543.

The spelling of 1792160 in words is "one million, seven hundred ninety-two thousand, one hundred sixty".