11671128 has 160 divisors (see below), whose sum is σ = 39029760. Its totient is φ = 3188160.

The previous prime is 11671123. The next prime is 11671147. The reversal of 11671128 is 82117611.

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 Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11671123) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 140575 + ... + 140657.

It is an arithmetic number, because the mean of its divisors is an integer number (243936).

Almost surely, 2^11671128 is an apocalyptic number.

11671128 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 11671128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19514880).

11671128 is an abundant number, since it is smaller than the sum of its proper divisors (27358632).

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

11671128 is a wasteful number, since it uses less digits than its factorization.

11671128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 126 counting only the distinct ones).

The product of its digits is 672, while the sum is 27.

The square root of 11671128 is about 3416.3032652269. The cubic root of 11671128 is about 226.8319766789.

Adding to 11671128 its reverse (82117611), we get a palindrome (93788739).

The spelling of 11671128 in words is "eleven million, six hundred seventy-one thousand, one hundred twenty-eight".