11035872 has 96 divisors (see below), whose sum is σ = 32931360. Its totient is φ = 3594240.

The previous prime is 11035853. The next prime is 11035877. The reversal of 11035872 is 27853011.

It is a tau number, because it is divible by the number of its divisors (96).

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 (11035877) 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, 45672 + ... + 45912.

It is an arithmetic number, because the mean of its divisors is an integer number (343035).

Almost surely, 2^11035872 is an apocalyptic number.

11035872 is a gapful number since it is divisible by the number (12) 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 11035872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16465680).

11035872 is an abundant number, since it is smaller than the sum of its proper divisors (21895488).

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

11035872 is a wasteful number, since it uses less digits than its factorization.

11035872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 313 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 11035872 is about 3322.0282960866. The cubic root of 11035872 is about 222.6395001139.

Adding to 11035872 its reverse (27853011), we get a palindrome (38888883).

The spelling of 11035872 in words is "eleven million, thirty-five thousand, eight hundred seventy-two".