11032320 has 216 divisors, whose sum is σ = 40397616. Its totient is φ = 2555904.

The previous prime is 11032313. The next prime is 11032339. The reversal of 11032320 is 2323011.

It is a happy number.

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 = 11032296 and 11032305.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 648952 + ... + 648968.

It is an arithmetic number, because the mean of its divisors is an integer number (187026).

Almost surely, 2^11032320 is an apocalyptic number.

11032320 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 11032320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20198808).

11032320 is an abundant number, since it is smaller than the sum of its proper divisors (29365296).

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

11032320 is a wasteful number, since it uses less digits than its factorization.

11032320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67 (or 40 counting only the distinct ones).

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

The square root of 11032320 is about 3321.4936399156. The cubic root of 11032320 is about 222.6156113397.

Adding to 11032320 its reverse (2323011), we get a palindrome (13355331).

The spelling of 11032320 in words is "eleven million, thirty-two thousand, three hundred twenty".