11260032 has 128 divisors (see below), whose sum is σ = 35251200. Its totient is φ = 3118080.

The previous prime is 11260021. The next prime is 11260049. The reversal of 11260032 is 23006211.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 11259993 and 11260020.

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, 158557 + ... + 158627.

It is an arithmetic number, because the mean of its divisors is an integer number (275400).

Almost surely, 2^11260032 is an apocalyptic number.

11260032 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 11260032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17625600).

11260032 is an abundant number, since it is smaller than the sum of its proper divisors (23991168).

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

11260032 is an equidigital number, since it uses as much as digits as its factorization.

11260032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 11260032 is about 3355.5971152688. The cubic root of 11260032 is about 224.1368211733.

Adding to 11260032 its reverse (23006211), we get a palindrome (34266243).

The spelling of 11260032 in words is "eleven million, two hundred sixty thousand, thirty-two".