11721600 has 288 divisors, whose sum is σ = 46860840. Its totient is φ = 2764800.

The previous prime is 11721587. The next prime is 11721607. The reversal of 11721600 is 612711.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11721607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 316782 + ... + 316818.

Almost surely, 2^11721600 is an apocalyptic number.

11721600 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 11721600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23430420).

11721600 is an abundant number, since it is smaller than the sum of its proper divisors (35139240).

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

11721600 is a wasteful number, since it uses less digits than its factorization.

11721600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 18.

The square root of 11721600 is about 3423.6822282449. The cubic root of 11721600 is about 227.1584861002.

Subtracting from 11721600 its reverse (612711), we obtain a square (11108889 = 3333²).

It can be divided in two parts, 11721 and 600, that added together give a palindrome (12321).

The spelling of 11721600 in words is "eleven million, seven hundred twenty-one thousand, six hundred".