13284000 has 240 divisors, whose sum is σ = 49945896. Its totient is φ = 3456000.

The previous prime is 13283993. The next prime is 13284049. The reversal of 13284000 is 48231.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1089936 + 12194064 = 1044^2 + 3492^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 323980 + ... + 324020.

Almost surely, 2^13284000 is an apocalyptic number.

13284000 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 13284000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24972948).

13284000 is an abundant number, since it is smaller than the sum of its proper divisors (36661896).

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

13284000 is an equidigital number, since it uses as much as digits as its factorization.

13284000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 13284000 is about 3644.7222116370. The cubic root of 13284000 is about 236.8334031890.

The spelling of 13284000 in words is "thirteen million, two hundred eighty-four thousand".