11329920 has 192 divisors, whose sum is σ = 44871840. Its totient is φ = 2580480.

The previous prime is 11329919. The next prime is 11329933. The reversal of 11329920 is 2992311.

It is a tau number, because it is divible by the number of its divisors (192).

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, 40180 + ... + 40460.

Almost surely, 2^11329920 is an apocalyptic number.

11329920 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 11329920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22435920).

11329920 is an abundant number, since it is smaller than the sum of its proper divisors (33541920).

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

11329920 is a wasteful number, since it uses less digits than its factorization.

11329920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 313 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The square root of 11329920 is about 3365.9946524022. The cubic root of 11329920 is about 224.5995841285.

The spelling of 11329920 in words is "eleven million, three hundred twenty-nine thousand, nine hundred twenty".