11253760 has 96 divisors (see below), whose sum is σ = 31056480. Its totient is φ = 3833856.

The previous prime is 11253733. The next prime is 11253761. The reversal of 11253760 is 6735211.

It is a super-2 number, since 2×11253760² = 253294228275200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11253761) 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, 71602 + ... + 71758.

It is an arithmetic number, because the mean of its divisors is an integer number (323505).

Almost surely, 2^11253760 is an apocalyptic number.

11253760 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 11253760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15528240).

11253760 is an abundant number, since it is smaller than the sum of its proper divisors (19802720).

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

11253760 is an equidigital number, since it uses as much as digits as its factorization.

11253760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 25.

The square root of 11253760 is about 3354.6624271303. The cubic root of 11253760 is about 224.0951976315.

Adding to 11253760 its reverse (6735211), we get a palindrome (17988971).

The spelling of 11253760 in words is "eleven million, two hundred fifty-three thousand, seven hundred sixty".