11832720 has 80 divisors (see below), whose sum is σ = 37497600. Its totient is φ = 3085312.

The previous prime is 11832707. The next prime is 11832721. The reversal of 11832720 is 2723811.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (11832721) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10756 + ... + 11804.

It is an arithmetic number, because the mean of its divisors is an integer number (468720).

Almost surely, 2^11832720 is an apocalyptic number.

11832720 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 11832720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18748800).

11832720 is an abundant number, since it is smaller than the sum of its proper divisors (25664880).

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

11832720 is a wasteful number, since it uses less digits than its factorization.

11832720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1112 (or 1106 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 24.

The square root of 11832720 is about 3439.8720906452. The cubic root of 11832720 is about 227.8740455439.

The spelling of 11832720 in words is "eleven million, eight hundred thirty-two thousand, seven hundred twenty".