11727360 has 120 divisors (see below), whose sum is σ = 40694940. Its totient is φ = 3121152.

The previous prime is 11727341. The next prime is 11727367. The reversal of 11727360 is 6372711.

It can be written as a sum of positive squares in 2 ways, for example, as 11614464 + 112896 = 3408^2 + 336^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is not an unprimeable number, because it can be changed into a prime (11727367) 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, 22786 + ... + 23294.

Almost surely, 2^11727360 is an apocalyptic number.

11727360 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 11727360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20347470).

11727360 is an abundant number, since it is smaller than the sum of its proper divisors (28967580).

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

11727360 is an equidigital number, since it uses as much as digits as its factorization.

11727360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 538 (or 519 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 27.

The square root of 11727360 is about 3424.5233244935. The cubic root of 11727360 is about 227.1956886043.

The spelling of 11727360 in words is "eleven million, seven hundred twenty-seven thousand, three hundred sixty".