11485984 has 48 divisors (see below), whose sum is σ = 23700600. Its totient is φ = 5474304.

The previous prime is 11485979. The next prime is 11485997. The reversal of 11485984 is 48958411.

It can be written as a sum of positive squares in 4 ways, for example, as 10890000 + 595984 = 3300^2 + 772^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 105322 + ... + 105430.

Almost surely, 2^11485984 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 11485984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11850300).

11485984 is an abundant number, since it is smaller than the sum of its proper divisors (12214616).

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

11485984 is a wasteful number, since it uses less digits than its factorization.

11485984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245 (or 237 counting only the distinct ones).

The product of its digits is 46080, while the sum is 40.

The square root of 11485984 is about 3389.0978150534. The cubic root of 11485984 is about 225.6261341553.

The spelling of 11485984 in words is "eleven million, four hundred eighty-five thousand, nine hundred eighty-four".