11480672 has 48 divisors (see below), whose sum is σ = 26127360. Its totient is φ = 4864128.

The previous prime is 11480671. The next prime is 11480683. The reversal of 11480672 is 27608411.

11480672 is digitally balanced in base 2 and base 8, because in such bases it contains all the possibile digits an equal number of times.

11480672 is strictly pandigital in base 8.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11480671) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23729 + ... + 24207.

It is an arithmetic number, because the mean of its divisors is an integer number (544320).

Almost surely, 2^11480672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11480672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13063680).

11480672 is an abundant number, since it is smaller than the sum of its proper divisors (14646688).

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

11480672 is a wasteful number, since it uses less digits than its factorization.

11480672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 603 (or 595 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 29.

The square root of 11480672 is about 3388.3140350328. The cubic root of 11480672 is about 225.5913465152.

The spelling of 11480672 in words is "eleven million, four hundred eighty thousand, six hundred seventy-two".