11765988 has 72 divisors (see below), whose sum is σ = 33103616. Its totient is φ = 3499200.

The previous prime is 11765987. The next prime is 11766031. The reversal of 11765988 is 88956711.

It is a super-2 number, since 2×11765988² = 276876947232288, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11765981) 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, 14103 + ... + 14913.

Almost surely, 2^11765988 is an apocalyptic number.

11765988 is a gapful number since it is divisible by the number (18) 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 11765988, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16551808).

11765988 is an abundant number, since it is smaller than the sum of its proper divisors (21337628).

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

11765988 is a wasteful number, since it uses less digits than its factorization.

11765988 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 865 (or 860 counting only the distinct ones).

The product of its digits is 120960, while the sum is 45.

The square root of 11765988 is about 3430.1585969165. The cubic root of 11765988 is about 227.4448636661. Note that the first 3 decimals are identical.

The spelling of 11765988 in words is "eleven million, seven hundred sixty-five thousand, nine hundred eighty-eight".