11061000 has 96 divisors (see below), whose sum is σ = 37416600. Its totient is φ = 2947200.

The previous prime is 11060989. The next prime is 11061031. The reversal of 11061000 is 16011.

It can be written as a sum of positive squares in 4 ways, for example, as 6874884 + 4186116 = 2622^2 + 2046^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a nialpdrome in base 15.

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, 8386 + ... + 9614.

Almost surely, 2^11061000 is an apocalyptic number.

11061000 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 11061000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18708300).

11061000 is an abundant number, since it is smaller than the sum of its proper divisors (26355600).

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

11061000 is a wasteful number, since it uses less digits than its factorization.

11061000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1256 (or 1239 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

The square root of 11061000 is about 3325.8081724597. The cubic root of 11061000 is about 222.8083508286.

Adding to 11061000 its reverse (16011), we get a palindrome (11077011).

The spelling of 11061000 in words is "eleven million, sixty-one thousand".