11484864 has 84 divisors (see below), whose sum is σ = 33389824. Its totient is φ = 3773952.

The previous prime is 11484859. The next prime is 11484883. The reversal of 11484864 is 46848411.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 73074 + ... + 73230.

Almost surely, 2^11484864 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 11484864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16694912).

11484864 is an abundant number, since it is smaller than the sum of its proper divisors (21904960).

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

11484864 is a wasteful number, since it uses less digits than its factorization.

11484864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302 (or 289 counting only the distinct ones).

The product of its digits is 24576, while the sum is 36.

The square root of 11484864 is about 3388.9325753104. The cubic root of 11484864 is about 225.6188003044.

The spelling of 11484864 in words is "eleven million, four hundred eighty-four thousand, eight hundred sixty-four".