1288608 has 48 divisors (see below), whose sum is σ = 3499776. Its totient is φ = 414720.

The previous prime is 1288607. The next prime is 1288613. The reversal of 1288608 is 8068821.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (1288603) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2760 + ... + 3192.

It is an arithmetic number, because the mean of its divisors is an integer number (72912).

2^1288608 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1288608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1749888).

1288608 is an abundant number, since it is smaller than the sum of its proper divisors (2211168).

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

1288608 is a wasteful number, since it uses less digits than its factorization.

1288608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 477 (or 469 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 33.

The square root of 1288608 is about 1135.1687099282. The cubic root of 1288608 is about 108.8195538673.

The spelling of 1288608 in words is "one million, two hundred eighty-eight thousand, six hundred eight".