11261800 has 48 divisors (see below), whose sum is σ = 28569600. Its totient is φ = 4094400.

The previous prime is 11261791. The next prime is 11261819. The reversal of 11261800 is 816211.

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, 360 + ... + 4759.

It is an arithmetic number, because the mean of its divisors is an integer number (595200).

Almost surely, 2^11261800 is an apocalyptic number.

11261800 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 11261800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14284800).

11261800 is an abundant number, since it is smaller than the sum of its proper divisors (17307800).

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

11261800 is a wasteful number, since it uses less digits than its factorization.

11261800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5146 (or 5137 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 19.

The square root of 11261800 is about 3355.8605453743. The cubic root of 11261800 is about 224.1485515474.

It can be divided in two parts, 1126 and 1800, that added together give a triangular number (2926 = T₇₆).

The spelling of 11261800 in words is "eleven million, two hundred sixty-one thousand, eight hundred".