11621200 has 60 divisors (see below), whose sum is σ = 29579580. Its totient is φ = 4372480.

The previous prime is 11621191. The next prime is 11621201. The reversal of 11621200 is 212611.

It can be written as a sum of positive squares in 6 ways, for example, as 304704 + 11316496 = 552^2 + 3364^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11621201) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5946 + ... + 7654.

It is an arithmetic number, because the mean of its divisors is an integer number (492993).

Almost surely, 2^11621200 is an apocalyptic number.

11621200 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 11621200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14789790).

11621200 is an abundant number, since it is smaller than the sum of its proper divisors (17958380).

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

11621200 is a wasteful number, since it uses less digits than its factorization.

11621200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1744 (or 1733 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

The square root of 11621200 is about 3408.9881196625. The cubic root of 11621200 is about 226.5080589764.

Adding to 11621200 its reverse (212611), we get a palindrome (11833811).

It can be divided in two parts, 116 and 21200, that added together give a square (21316 = 146²).

The spelling of 11621200 in words is "eleven million, six hundred twenty-one thousand, two hundred".