1408608 has 72 divisors (see below), whose sum is σ = 4121208. Its totient is φ = 456192.

The previous prime is 1408601. The next prime is 1408613. The reversal of 1408608 is 8068041.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1408601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19260 + ... + 19332.

It is an arithmetic number, because the mean of its divisors is an integer number (57239).

2^1408608 is an apocalyptic number.

1408608 is a gapful number since it is divisible by the number (18) 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 1408608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2060604).

1408608 is an abundant number, since it is smaller than the sum of its proper divisors (2712600).

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

1408608 is a wasteful number, since it uses less digits than its factorization.

1408608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 1408608 is about 1186.8479262315. The cubic root of 1408608 is about 112.0977038583.

It can be divided in two parts, 1408 and 608, that added together give a triangular number (2016 = T₆₃).

The spelling of 1408608 in words is "one million, four hundred eight thousand, six hundred eight".