11832480 has 240 divisors, whose sum is σ = 46103904. Its totient is φ = 2833920.

The previous prime is 11832479. The next prime is 11832481. The reversal of 11832480 is 8423811.

11832480 is a `hidden beast` number, since 1 + 183 + 2 + 480 = 666.

It is an interprime number because it is at equal distance from previous prime (11832479) and next prime (11832481).

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (11832481) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 142519 + ... + 142601.

Almost surely, 2^11832480 is an apocalyptic number.

11832480 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 11832480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23051952).

11832480 is an abundant number, since it is smaller than the sum of its proper divisors (34271424).

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

11832480 is a wasteful number, since it uses less digits than its factorization.

11832480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 11832480 is about 3439.8372054503. The cubic root of 11832480 is about 227.8725048967.

It can be divided in two parts, 1183 and 2480, that added together give a palindrome (3663).

The spelling of 11832480 in words is "eleven million, eight hundred thirty-two thousand, four hundred eighty".