11771000 has 64 divisors (see below), whose sum is σ = 28080000. Its totient is φ = 4617600.

The previous prime is 11770981. The next prime is 11771063. The reversal of 11771000 is 17711.

It is a self number, because there is not a number n which added to its sum of digits gives 11771000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 78926 + ... + 79074.

It is an arithmetic number, because the mean of its divisors is an integer number (438750).

Almost surely, 2^11771000 is an apocalyptic number.

11771000 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 11771000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14040000).

11771000 is an abundant number, since it is smaller than the sum of its proper divisors (16309000).

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

11771000 is a wasteful number, since it uses less digits than its factorization.

11771000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249 (or 235 counting only the distinct ones).

The product of its (nonzero) digits is 49, while the sum is 17.

The square root of 11771000 is about 3430.8890975955. The cubic root of 11771000 is about 227.4771542490.

Adding to 11771000 its reverse (17711), we get a palindrome (11788711).

It can be divided in two parts, 117 and 71000, that added together give a palindrome (71117).

The spelling of 11771000 in words is "eleven million, seven hundred seventy-one thousand".