1766112440 has 64 divisors (see below), whose sum is σ = 4034901600. Its totient is φ = 695642112.

The previous prime is 1766112427. The next prime is 1766112449. The reversal of 1766112440 is 442116671.

It is a junction number, because it is equal to n+sod(n) for n = 1766112397 and 1766112406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1766112449) 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, 1006604 + ... + 1008356.

Almost surely, 2^1766112440 is an apocalyptic number.

1766112440 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 1766112440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2017450800).

1766112440 is an abundant number, since it is smaller than the sum of its proper divisors (2268789160).

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

1766112440 is a wasteful number, since it uses less digits than its factorization.

1766112440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2136 (or 2132 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 32.

The square root of 1766112440 is about 42025.1405708535. The cubic root of 1766112440 is about 1208.7582461642.

The spelling of 1766112440 in words is "one billion, seven hundred sixty-six million, one hundred twelve thousand, four hundred forty".