11748640 has 48 divisors (see below), whose sum is σ = 28079352. Its totient is φ = 4644864.

The previous prime is 11748619. The next prime is 11748641. The reversal of 11748640 is 4684711.

It can be written as a sum of positive squares in 4 ways, for example, as 9709456 + 2039184 = 3116^2 + 1428^2 .

It is not an unprimeable number, because it can be changed into a prime (11748641) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15142 + ... + 15898.

Almost surely, 2^11748640 is an apocalyptic number.

11748640 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 11748640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14039676).

11748640 is an abundant number, since it is smaller than the sum of its proper divisors (16330712).

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

11748640 is an equidigital number, since it uses as much as digits as its factorization.

11748640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 869 (or 861 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 31.

The square root of 11748640 is about 3427.6289180715. The cubic root of 11748640 is about 227.3330256491. Note that the first 3 decimals are identical.

The spelling of 11748640 in words is "eleven million, seven hundred forty-eight thousand, six hundred forty".