11332992 has 64 divisors (see below), whose sum is σ = 32852160. Its totient is φ = 3432960.

The previous prime is 11332991. The next prime is 11333009. The reversal of 11332992 is 29923311.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11332991) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2883 + ... + 5565.

It is an arithmetic number, because the mean of its divisors is an integer number (513315).

Almost surely, 2^11332992 is an apocalyptic number.

11332992 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 11332992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16426080).

11332992 is an abundant number, since it is smaller than the sum of its proper divisors (21519168).

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

11332992 is a wasteful number, since it uses less digits than its factorization.

11332992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2711 (or 2699 counting only the distinct ones).

The product of its digits is 2916, while the sum is 30.

The square root of 11332992 is about 3366.4509501848. The cubic root of 11332992 is about 224.6198816408.

The spelling of 11332992 in words is "eleven million, three hundred thirty-two thousand, nine hundred ninety-two".