11071680 has 112 divisors (see below), whose sum is σ = 37063680. Its totient is φ = 2792448.

The previous prime is 11071673. The next prime is 11071693. The reversal of 11071680 is 8617011.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 11071680.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17937 + ... + 18543.

Almost surely, 2^11071680 is an apocalyptic number.

11071680 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 11071680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18531840).

11071680 is an abundant number, since it is smaller than the sum of its proper divisors (25992000).

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

11071680 is a wasteful number, since it uses less digits than its factorization.

11071680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 646 (or 636 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 24.

The square root of 11071680 is about 3327.4134098425. The cubic root of 11071680 is about 222.8800389738.

Adding to 11071680 its reverse (8617011), we get a palindrome (19688691).

The spelling of 11071680 in words is "eleven million, seventy-one thousand, six hundred eighty".