11332000 has 48 divisors (see below), whose sum is σ = 27852552. Its totient is φ = 4531200.

The previous prime is 11331989. The next prime is 11332001. The reversal of 11332000 is 23311.

It can be written as a sum of positive squares in 4 ways, for example, as 2782224 + 8549776 = 1668^2 + 2924^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (11332001) 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 7 ways as a sum of consecutive naturals, for example, 2584 + ... + 5416.

Almost surely, 2^11332000 is an apocalyptic number.

11332000 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 11332000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13926276).

11332000 is an abundant number, since it is smaller than the sum of its proper divisors (16520552).

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

11332000 is an equidigital number, since it uses as much as digits as its factorization.

11332000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2858 (or 2840 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 10.

The square root of 11332000 is about 3366.3036107874. The cubic root of 11332000 is about 224.6133276368.

Adding to 11332000 its reverse (23311), we get a palindrome (11355311).

The spelling of 11332000 in words is "eleven million, three hundred thirty-two thousand".