11071080 has 192 divisors, whose sum is σ = 40098240. Its totient is φ = 2737152.

The previous prime is 11071057. The next prime is 11071133. The reversal of 11071080 is 8017011.

11071080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 165207 + ... + 165273.

It is an arithmetic number, because the mean of its divisors is an integer number (208845).

Almost surely, 2^11071080 is an apocalyptic number.

11071080 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 11071080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20049120).

11071080 is an abundant number, since it is smaller than the sum of its proper divisors (29027160).

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

11071080 is a wasteful number, since it uses less digits than its factorization.

11071080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 18.

The square root of 11071080 is about 3327.3232484987. The cubic root of 11071080 is about 222.8760127724.

Adding to 11071080 its reverse (8017011), we get a palindrome (19088091).

It can be divided in two parts, 1107 and 1080, that added together give a 7-th power (2187 = 3⁷).

The spelling of 11071080 in words is "eleven million, seventy-one thousand, eighty".