11261600 has 72 divisors (see below), whose sum is σ = 31435488. Its totient is φ = 3859200.

The previous prime is 11261597. The next prime is 11261611. The reversal of 11261600 is 616211.

It is a happy number.

11261600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a zygodrome in base 4.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4595 + ... + 6605.

It is an arithmetic number, because the mean of its divisors is an integer number (436604).

Almost surely, 2^11261600 is an apocalyptic number.

11261600 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 11261600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15717744).

11261600 is an abundant number, since it is smaller than the sum of its proper divisors (20173888).

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

11261600 is a wasteful number, since it uses less digits than its factorization.

11261600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2038 (or 2025 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 17.

The square root of 11261600 is about 3355.8307466259. The cubic root of 11261600 is about 224.1472246436.

Adding to 11261600 its reverse (616211), we get a palindrome (11877811).

The spelling of 11261600 in words is "eleven million, two hundred sixty-one thousand, six hundred".