1408064 has 42 divisors (see below), whose sum is σ = 3257550. Its totient is φ = 602112.

The previous prime is 1408031. The next prime is 1408067. The reversal of 1408064 is 4608041.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 1254400 + 153664 = 1120^2 + 392^2 .

It is not an unprimeable number, because it can be changed into a prime (1408067) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2912 + ... + 3360.

2^1408064 is an apocalyptic number.

1408064 is a gapful number since it is divisible by the number (14) 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 1408064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1628775).

1408064 is an abundant number, since it is smaller than the sum of its proper divisors (1849486).

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

1408064 is an equidigital number, since it uses as much as digits as its factorization.

1408064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 475 (or 458 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

The square root of 1408064 is about 1186.6187256234. The cubic root of 1408064 is about 112.0832714061.

Subtracting from 1408064 its sum of digits (23), we obtain a palindrome (1408041).

The spelling of 1408064 in words is "one million, four hundred eight thousand, sixty-four".