11032000 has 112 divisors (see below), whose sum is σ = 31382208. Its totient is φ = 3763200.

The previous prime is 11031983. The next prime is 11032039. The reversal of 11032000 is 23011.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (7).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 55902 + ... + 56098.

Almost surely, 2^11032000 is an apocalyptic number.

11032000 is a gapful number since it is divisible by the number (10) 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 11032000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15691104).

11032000 is an abundant number, since it is smaller than the sum of its proper divisors (20350208).

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

11032000 is an equidigital number, since it uses as much as digits as its factorization.

11032000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 7.

The square root of 11032000 is about 3321.4454684670. The cubic root of 11032000 is about 222.6134589461.

Adding to 11032000 its reverse (23011), we get a palindrome (11055011).

The spelling of 11032000 in words is "eleven million, thirty-two thousand".