11766440 has 32 divisors (see below), whose sum is σ = 30257280. Its totient is φ = 4034112.

The previous prime is 11766427. The next prime is 11766449. The reversal of 11766440 is 4466711.

It is a super-2 number, since 2×11766440² = 276898220547200, which contains 22 as substring.

It is a Smith number, since the sum of its digits (29) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (11766449) 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 7 ways as a sum of consecutive naturals, for example, 20732 + ... + 21291.

It is an arithmetic number, because the mean of its divisors is an integer number (945540).

Almost surely, 2^11766440 is an apocalyptic number.

11766440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11766440 is an abundant number, since it is smaller than the sum of its proper divisors (18490840).

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

11766440 is a wasteful number, since it uses less digits than its factorization.

11766440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42041 (or 42037 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 29.

The square root of 11766440 is about 3430.2244824501. The cubic root of 11766440 is about 227.4477761220.

The spelling of 11766440 in words is "eleven million, seven hundred sixty-six thousand, four hundred forty".