11766240 has 72 divisors (see below), whose sum is σ = 40157208. Its totient is φ = 3137280.

The previous prime is 11766239. The next prime is 11766241. The reversal of 11766240 is 4266711.

It is an interprime number because it is at equal distance from previous prime (11766239) and next prime (11766241).

It is a tau number, because it is divible by the number of its divisors (72).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11766241) 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 11 ways as a sum of consecutive naturals, for example, 2646 + ... + 5525.

It is an arithmetic number, because the mean of its divisors is an integer number (557739).

Almost surely, 2^11766240 is an apocalyptic number.

11766240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11766240 is an abundant number, since it is smaller than the sum of its proper divisors (28390968).

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

11766240 is a wasteful number, since it uses less digits than its factorization.

11766240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8192 (or 8181 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 11766240 is about 3430.1953297152. The cubic root of 11766240 is about 227.4464874339.

It can be divided in two parts, 1 and 1766240, that added together give a square (1766241 = 1329²).

The spelling of 11766240 in words is "eleven million, seven hundred sixty-six thousand, two hundred forty".