1608480 has 72 divisors (see below), whose sum is σ = 5493852. Its totient is φ = 428544.

The previous prime is 1608479. The next prime is 1608487. The reversal of 1608480 is 848061.

It can be written as a sum of positive squares in 2 ways, for example, as 1411344 + 197136 = 1188^2 + 444^2 .

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

It is not an unprimeable number, because it can be changed into a prime (1608487) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 882 + ... + 1998.

2^1608480 is an apocalyptic number.

1608480 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 1608480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2746926).

1608480 is an abundant number, since it is smaller than the sum of its proper divisors (3885372).

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

1608480 is a wasteful number, since it uses less digits than its factorization.

1608480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1138 (or 1127 counting only the distinct ones).

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

The square root of 1608480 is about 1268.2586486991. The cubic root of 1608480 is about 117.1669761391.

The spelling of 1608480 in words is "one million, six hundred eight thousand, four hundred eighty".