11728640 has 216 divisors, whose sum is σ = 37748592. Its totient is φ = 3440640.

The previous prime is 11728631. The next prime is 11728649. The reversal of 11728640 is 4682711.

It is an interprime number because it is at equal distance from previous prime (11728631) and next prime (11728649).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11728649) 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 23 ways as a sum of consecutive naturals, for example, 689912 + ... + 689928.

It is an arithmetic number, because the mean of its divisors is an integer number (174762).

Almost surely, 2^11728640 is an apocalyptic number.

11728640 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 11728640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18874296).

11728640 is an abundant number, since it is smaller than the sum of its proper divisors (26019952).

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

11728640 is a wasteful number, since it uses less digits than its factorization.

11728640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 29.

The square root of 11728640 is about 3424.7102067182. The cubic root of 11728640 is about 227.2039541731.

The spelling of 11728640 in words is "eleven million, seven hundred twenty-eight thousand, six hundred forty".