1288408 has 24 divisors (see below), whose sum is σ = 2657340. Its totient is φ = 585640.

The previous prime is 1288393. The next prime is 1288421. The reversal of 1288408 is 8048821.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a nialpdrome in base 11.

It is a self number, because there is not a number n which added to its sum of digits gives 1288408.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 117123 + ... + 117133.

2^1288408 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 1288408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1328670).

1288408 is an abundant number, since it is smaller than the sum of its proper divisors (1368932).

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

1288408 is an frugal number, since it uses more digits than its factorization.

1288408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61 (or 13 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 31.

The square root of 1288408 is about 1135.0806138773. The cubic root of 1288408 is about 108.8139237515.

Multiplying 1288408 by its product of nonzero digits (4096), we get a 5-th power (5277319168 = 88⁵).

The spelling of 1288408 in words is "one million, two hundred eighty-eight thousand, four hundred eight".