13448000 has 84 divisors (see below), whose sum is σ = 34136076. Its totient is φ = 5248000.

The previous prime is 13447997. The next prime is 13448011. The reversal of 13448000 is 84431.

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 can be written as a sum of positive squares in 6 ways, for example, as 11397376 + 2050624 = 3376^2 + 1432^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 327980 + ... + 328020.

Almost surely, 2^13448000 is an apocalyptic number.

13448000 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 13448000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17068038).

13448000 is an abundant number, since it is smaller than the sum of its proper divisors (20688076).

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

13448000 is an frugal number, since it uses more digits than its factorization.

13448000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 13448000 is about 3667.1514830997. The cubic root of 13448000 is about 237.8040427375.

Multiplying 13448000 by its sum of digits (20), we get a square (268960000 = 16400²).

13448000 divided by its sum of digits (20) gives a square (672400 = 820²).

The spelling of 13448000 in words is "thirteen million, four hundred forty-eight thousand".