11268810 has 96 divisors (see below), whose sum is σ = 34624512. Its totient is φ = 2488320.

The previous prime is 11268793. The next prime is 11268811. The reversal of 11268810 is 1886211.

It is a super-2 number, since 2×11268810² = 253972157632200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11268811) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19242 + ... + 19818.

It is an arithmetic number, because the mean of its divisors is an integer number (360672).

Almost surely, 2^11268810 is an apocalyptic number.

11268810 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11268810, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17312256).

11268810 is an abundant number, since it is smaller than the sum of its proper divisors (23355702).

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

11268810 is a wasteful number, since it uses less digits than its factorization.

11268810 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 628 (or 625 counting only the distinct ones).

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

The square root of 11268810 is about 3356.9048243881. The cubic root of 11268810 is about 224.1950496039.

The spelling of 11268810 in words is "eleven million, two hundred sixty-eight thousand, eight hundred ten".