11061600 has 144 divisors (see below), whose sum is σ = 39372480. Its totient is φ = 2675200.

The previous prime is 11061581. The next prime is 11061607. The reversal of 11061600 is 616011.

11061600 = 100² + 101² + ... + 324².

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 11061600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11061607) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26191 + ... + 26609.

It is an arithmetic number, because the mean of its divisors is an integer number (273420).

Almost surely, 2^11061600 is an apocalyptic number.

11061600 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 11061600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19686240).

11061600 is an abundant number, since it is smaller than the sum of its proper divisors (28310880).

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

11061600 is a wasteful number, since it uses less digits than its factorization.

11061600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 453 (or 440 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

The square root of 11061600 is about 3325.8983748756. The cubic root of 11061600 is about 222.8123794756.

Adding to 11061600 its reverse (616011), we get a palindrome (11677611).

It can be divided in two parts, 1 and 1061600, that added together give a palindrome (1061601).

The spelling of 11061600 in words is "eleven million, sixty-one thousand, six hundred".