11371680 has 144 divisors (see below), whose sum is σ = 39803400. Its totient is φ = 2955264.

The previous prime is 11371673. The next prime is 11371693. The reversal of 11371680 is 8617311.

It can be written as a sum of positive squares in 4 ways, for example, as 8088336 + 3283344 = 2844^2 + 1812^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 76246 + ... + 76394.

Almost surely, 2^11371680 is an apocalyptic number.

11371680 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 11371680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19901700).

11371680 is an abundant number, since it is smaller than the sum of its proper divisors (28431720).

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

11371680 is a wasteful number, since it uses less digits than its factorization.

11371680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 11371680 is about 3372.1921653429. The cubic root of 11371680 is about 224.8751900386.

Adding to 11371680 its reverse (8617311), we get a palindrome (19988991).

The spelling of 11371680 in words is "eleven million, three hundred seventy-one thousand, six hundred eighty".