11070800 has 60 divisors (see below), whose sum is σ = 28657020. Its totient is φ = 4085760.

The previous prime is 11070781. The next prime is 11070821. The reversal of 11070800 is 807011.

It can be written as a sum of positive squares in 6 ways, for example, as 2238016 + 8832784 = 1496^2 + 2972^2 .

It is a super-2 number, since 2×11070800² = 245125225280000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4136 + ... + 6264.

It is an arithmetic number, because the mean of its divisors is an integer number (477617).

Almost surely, 2^11070800 is an apocalyptic number.

11070800 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 11070800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14328510).

11070800 is an abundant number, since it is smaller than the sum of its proper divisors (17586220).

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

11070800 is a wasteful number, since it uses less digits than its factorization.

11070800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2160 (or 2149 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 17.

The square root of 11070800 is about 3327.2811723688. The cubic root of 11070800 is about 222.8741338287.

Adding to 11070800 its reverse (807011), we get a palindrome (11877811).

The spelling of 11070800 in words is "eleven million, seventy thousand, eight hundred".