13440800 has 72 divisors (see below), whose sum is σ = 33536916. Its totient is φ = 5258240.

The previous prime is 13440781. The next prime is 13440821. The reversal of 13440800 is 804431.

13440800 is nontrivially palindromic in base 9.

It can be written as a sum of positive squares in 6 ways, for example, as 2917264 + 10523536 = 1708^2 + 3244^2 .

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

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, 42242 + ... + 42558.

Almost surely, 2^13440800 is an apocalyptic number.

13440800 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 13440800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16768458).

13440800 is an abundant number, since it is smaller than the sum of its proper divisors (20096116).

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

13440800 is a wasteful number, since it uses less digits than its factorization.

13440800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 390 (or 377 counting only the distinct ones).

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

The square root of 13440800 is about 3666.1696632862. The cubic root of 13440800 is about 237.7615954153.

The spelling of 13440800 in words is "thirteen million, four hundred forty thousand, eight hundred".