11801268 has 48 divisors (see below), whose sum is σ = 30898560. Its totient is φ = 3894912.

The previous prime is 11801263. The next prime is 11801269. The reversal of 11801268 is 86210811.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11801263) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11721 + ... + 12687.

It is an arithmetic number, because the mean of its divisors is an integer number (643720).

Almost surely, 2^11801268 is an apocalyptic number.

11801268 is a gapful number since it is divisible by the number (18) 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 11801268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15449280).

11801268 is an abundant number, since it is smaller than the sum of its proper divisors (19097292).

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

11801268 is a wasteful number, since it uses less digits than its factorization.

11801268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1093 (or 1085 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 27.

The square root of 11801268 is about 3435.2973670412. The cubic root of 11801268 is about 227.6719659418.

The spelling of 11801268 in words is "eleven million, eight hundred one thousand, two hundred sixty-eight".