11065680 has 160 divisors (see below), whose sum is σ = 39283200. Its totient is φ = 2861568.

The previous prime is 11065673. The next prime is 11065693. The reversal of 11065680 is 8656011.

11065680 = T₃₉₅ + T₃₉₆ + ... + T₅₀₃.

11065680 is a `hidden beast` number, since 1 + 1 + 0 + 656 + 8 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 101466 + ... + 101574.

It is an arithmetic number, because the mean of its divisors is an integer number (245520).

Almost surely, 2^11065680 is an apocalyptic number.

11065680 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 11065680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19641600).

11065680 is an abundant number, since it is smaller than the sum of its proper divisors (28217520).

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

11065680 is a wasteful number, since it uses less digits than its factorization.

11065680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 11065680 is about 3326.5116864367. The cubic root of 11065680 is about 222.8397704125.

It can be divided in two parts, 1106 and 5680, that added together give a triangular number (6786 = T₁₁₆).

The spelling of 11065680 in words is "eleven million, sixty-five thousand, six hundred eighty".