11712480 has 96 divisors (see below), whose sum is σ = 39753504. Its totient is φ = 2881536.

The previous prime is 11712479. The next prime is 11712487. The reversal of 11712480 is 8421711.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a self number, because there is not a number n which added to its sum of digits gives 11712480.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11712487) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5302 + ... + 7178.

It is an arithmetic number, because the mean of its divisors is an integer number (414099).

Almost surely, 2^11712480 is an apocalyptic number.

11712480 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 11712480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19876752).

11712480 is an abundant number, since it is smaller than the sum of its proper divisors (28041024).

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

11712480 is a wasteful number, since it uses less digits than its factorization.

11712480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1908 (or 1900 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 24.

The square root of 11712480 is about 3422.3500697620. The cubic root of 11712480 is about 227.0995572020.

The spelling of 11712480 in words is "eleven million, seven hundred twelve thousand, four hundred eighty".