1791120 has 80 divisors (see below), whose sum is σ = 5892480. Its totient is φ = 448512.

The previous prime is 1791113. The next prime is 1791121. The reversal of 1791120 is 211971.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×1791120² = 6416221708800, which contains 22 as substring.

It is a nialpdrome in base 8.

It is not an unprimeable number, because it can be changed into a prime (1791121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3861 + ... + 4299.

It is an arithmetic number, because the mean of its divisors is an integer number (73656).

2^1791120 is an apocalyptic number.

1791120 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 1791120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2946240).

1791120 is an abundant number, since it is smaller than the sum of its proper divisors (4101360).

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

1791120 is a wasteful number, since it uses less digits than its factorization.

1791120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 472 (or 466 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 21.

The square root of 1791120 is about 1338.3273142247. The cubic root of 1791120 is about 121.4436731918.

The spelling of 1791120 in words is "one million, seven hundred ninety-one thousand, one hundred twenty".