11724480 has 224 divisors, whose sum is σ = 43891200. Its totient is φ = 2939904.

The previous prime is 11724473. The next prime is 11724481. The reversal of 11724480 is 8442711.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11724481) 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 31 ways as a sum of consecutive naturals, for example, 198691 + ... + 198749.

Almost surely, 2^11724480 is an apocalyptic number.

11724480 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 11724480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21945600).

11724480 is an abundant number, since it is smaller than the sum of its proper divisors (32166720).

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

11724480 is a wasteful number, since it uses less digits than its factorization.

11724480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 11724480 is about 3424.1028021951. The cubic root of 11724480 is about 227.1770888753.

The spelling of 11724480 in words is "eleven million, seven hundred twenty-four thousand, four hundred eighty".