11032032 has 96 divisors (see below), whose sum is σ = 32707584. Its totient is φ = 3225600.

The previous prime is 11031983. The next prime is 11032039. The reversal of 11032032 is 23023011.

It is a happy number.

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 (12).

It is a junction number, because it is equal to n+sod(n) for n = 11031999 and 11032017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11032039) 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, 32568 + ... + 32904.

It is an arithmetic number, because the mean of its divisors is an integer number (340704).

Almost surely, 2^11032032 is an apocalyptic number.

11032032 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 11032032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16353792).

11032032 is an abundant number, since it is smaller than the sum of its proper divisors (21675552).

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

11032032 is a wasteful number, since it uses less digits than its factorization.

11032032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 392 (or 384 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 11032032 is about 3321.4502856433. The cubic root of 11032032 is about 222.6136741874.

Adding to 11032032 its reverse (23023011), we get a palindrome (34055043).

The spelling of 11032032 in words is "eleven million, thirty-two thousand, thirty-two".