11332960 has 48 divisors (see below), whose sum is σ = 26986176. Its totient is φ = 4497408.

The previous prime is 11332943. The next prime is 11332961. The reversal of 11332960 is 6923311.

11332960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11332961) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30697 + ... + 31063.

It is an arithmetic number, because the mean of its divisors is an integer number (562212).

Almost surely, 2^11332960 is an apocalyptic number.

11332960 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 11332960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13493088).

11332960 is an abundant number, since it is smaller than the sum of its proper divisors (15653216).

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

11332960 is a wasteful number, since it uses less digits than its factorization.

11332960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 575 (or 567 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 25.

The square root of 11332960 is about 3366.4461974016. The cubic root of 11332960 is about 224.6196702273.

The spelling of 11332960 in words is "eleven million, three hundred thirty-two thousand, nine hundred sixty".