13284480 has 256 divisors, whose sum is σ = 50232960. Its totient is φ = 2949120.

The previous prime is 13284473. The next prime is 13284521. The reversal of 13284480 is 8448231.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 359022 + ... + 359058.

Almost surely, 2^13284480 is an apocalyptic number.

13284480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13284480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25116480).

13284480 is an abundant number, since it is smaller than the sum of its proper divisors (36948480).

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

13284480 is a wasteful number, since it uses less digits than its factorization.

13284480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The square root of 13284480 is about 3644.7880596819. The cubic root of 13284480 is about 236.8362557100.

The spelling of 13284480 in words is "thirteen million, two hundred eighty-four thousand, four hundred eighty".