1766240 has 96 divisors (see below), whose sum is σ = 5080320. Its totient is φ = 566784.

The previous prime is 1766231. The next prime is 1766243. The reversal of 1766240 is 426671.

It is a Cunningham number, because it is equal to 1329²-1.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1766243) 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 15 ways as a sum of consecutive naturals, for example, 21239 + ... + 21321.

It is an arithmetic number, because the mean of its divisors is an integer number (52920).

2^1766240 is an apocalyptic number.

1766240 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 1766240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2540160).

1766240 is an abundant number, since it is smaller than the sum of its proper divisors (3314080).

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

1766240 is a wasteful number, since it uses less digits than its factorization.

1766240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 26.

The square root of 1766240 is about 1328.9996237772. Note that the first 3 decimals coincide. The cubic root of 1766240 is about 120.8787346895.

The spelling of 1766240 in words is "one million, seven hundred sixty-six thousand, two hundred forty".