11056032 has 72 divisors (see below), whose sum is σ = 33870564. Its totient is φ = 3400704.

The previous prime is 11056027. The next prime is 11056039. The reversal of 11056032 is 23065011.

It can be written as a sum of positive squares in 2 ways, for example, as 11048976 + 7056 = 3324^2 + 84^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 11055996 and 11056014.

It is not an unprimeable number, because it can be changed into a prime (11056039) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2268 + ... + 5220.

Almost surely, 2^11056032 is an apocalyptic number.

11056032 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 11056032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16935282).

11056032 is an abundant number, since it is smaller than the sum of its proper divisors (22814532).

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

11056032 is a wasteful number, since it uses less digits than its factorization.

11056032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2982 (or 2971 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 11056032 is about 3325.0612024442. The cubic root of 11056032 is about 222.7749880329.

It can be divided in two parts, 110560 and 32, that added together give a cube (110592 = 48³).

The spelling of 11056032 in words is "eleven million, fifty-six thousand, thirty-two".