11648672 has 144 divisors (see below), whose sum is σ = 31026240. Its totient is φ = 4257792.

The previous prime is 11648641. The next prime is 11648713. The reversal of 11648672 is 27684611.

11648672 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 506453 + ... + 506475.

It is an arithmetic number, because the mean of its divisors is an integer number (215460).

Almost surely, 2^11648672 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 11648672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15513120).

11648672 is an abundant number, since it is smaller than the sum of its proper divisors (19377568).

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

11648672 is a wasteful number, since it uses less digits than its factorization.

11648672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83 (or 68 counting only the distinct ones).

The product of its digits is 16128, while the sum is 35.

The square root of 11648672 is about 3413.0150893308. The cubic root of 11648672 is about 226.6864035101.

The spelling of 11648672 in words is "eleven million, six hundred forty-eight thousand, six hundred seventy-two".