13284864 has 120 divisors (see below), whose sum is σ = 40633560. Its totient is φ = 4285440.

The previous prime is 13284863. The next prime is 13284883. The reversal of 13284864 is 46848231.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a super-2 number, since 2×13284864² = 352975222996992, which contains 22 as substring.

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.

Its product of digits (36864) is a multiple of the sum of its prime divisors (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13284863) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 428529 + ... + 428559.

It is an arithmetic number, because the mean of its divisors is an integer number (338613).

Almost surely, 2^13284864 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 13284864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20316780).

13284864 is an abundant number, since it is smaller than the sum of its proper divisors (27348696).

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

13284864 is an frugal number, since it uses more digits than its factorization.

13284864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89 (or 36 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

The square root of 13284864 is about 3644.8407372614. The cubic root of 13284864 is about 236.8385376773.

The spelling of 13284864 in words is "thirteen million, two hundred eighty-four thousand, eight hundred sixty-four".