1288416 has 24 divisors (see below), whose sum is σ = 3382344. Its totient is φ = 429440.

The previous prime is 1288393. The next prime is 1288421. The reversal of 1288416 is 6148821.

1288416 is nontrivially palindromic in base 11.

It is a tau number, because it is divible by the number of its divisors (24).

It is a nude number because it is divisible by every one of its digits.

It is a plaindrome in base 14.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6615 + ... + 6806.

It is an arithmetic number, because the mean of its divisors is an integer number (140931).

2^1288416 is an apocalyptic number.

1288416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1288416 is an abundant number, since it is smaller than the sum of its proper divisors (2093928).

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

1288416 is a wasteful number, since it uses less digits than its factorization.

1288416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13434 (or 13426 counting only the distinct ones).

The product of its digits is 3072, while the sum is 30.

The square root of 1288416 is about 1135.0841378506. The cubic root of 1288416 is about 108.8141489673.

The spelling of 1288416 in words is "one million, two hundred eighty-eight thousand, four hundred sixteen".