11004032 has 64 divisors (see below), whose sum is σ = 25061400. Its totient is φ = 4767744.

The previous prime is 11004029. The next prime is 11004043. The reversal of 11004032 is 23040011.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 7706176 + 3297856 = 2776^2 + 1816^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28094 + ... + 28482.

Almost surely, 2^11004032 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 11004032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12530700).

11004032 is an abundant number, since it is smaller than the sum of its proper divisors (14057368).

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

11004032 is a wasteful number, since it uses less digits than its factorization.

11004032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 433 (or 421 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 11004032 is about 3317.2325815354. The cubic root of 11004032 is about 222.4251787307.

Adding to 11004032 its reverse (23040011), we get a palindrome (34044043).

The spelling of 11004032 in words is "eleven million, four thousand, thirty-two".