1791540 has 72 divisors (see below), whose sum is σ = 5601960. Its totient is φ = 463104.

The previous prime is 1791523. The next prime is 1791541. The reversal of 1791540 is 451971.

It can be written as a sum of positive squares in 4 ways, for example, as 142884 + 1648656 = 378^2 + 1284^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1791541) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6526 + ... + 6794.

It is an arithmetic number, because the mean of its divisors is an integer number (77805).

2^1791540 is an apocalyptic number.

1791540 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 1791540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2800980).

1791540 is an abundant number, since it is smaller than the sum of its proper divisors (3810420).

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

1791540 is a wasteful number, since it uses less digits than its factorization.

1791540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 321 (or 316 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 27.

The square root of 1791540 is about 1338.4842173145. The cubic root of 1791540 is about 121.4531648984.

It can be divided in two parts, 17915 and 40, that added together give a triangular number (17955 = T₁₈₉).

The spelling of 1791540 in words is "one million, seven hundred ninety-one thousand, five hundred forty".