11285736 has 128 divisors (see below), whose sum is σ = 36495360. Its totient is φ = 2822400.

The previous prime is 11285731. The next prime is 11285749. The reversal of 11285736 is 63758211.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 11285697 and 11285706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11285731) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 57190 + ... + 57386.

It is an arithmetic number, because the mean of its divisors is an integer number (285120).

Almost surely, 2^11285736 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11285736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18247680).

11285736 is an abundant number, since it is smaller than the sum of its proper divisors (25209624).

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

11285736 is a wasteful number, since it uses less digits than its factorization.

11285736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255 (or 251 counting only the distinct ones).

The product of its digits is 10080, while the sum is 33.

The square root of 11285736 is about 3359.4249507914. The cubic root of 11285736 is about 224.3072420795.

It can be divided in two parts, 11285 and 736, that added together give a palindrome (12021).

The spelling of 11285736 in words is "eleven million, two hundred eighty-five thousand, seven hundred thirty-six".