1288656 has 80 divisors (see below), whose sum is σ = 3918400. Its totient is φ = 404352.

The previous prime is 1288649. The next prime is 1288657. The reversal of 1288656 is 6568821.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a plaindrome in base 14.

It is a self number, because there is not a number n which added to its sum of digits gives 1288656.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1288657) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8130 + ... + 8286.

It is an arithmetic number, because the mean of its divisors is an integer number (48980).

2^1288656 is an apocalyptic number.

1288656 is a gapful number since it is divisible by the number (16) 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 1288656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1959200).

1288656 is an abundant number, since it is smaller than the sum of its proper divisors (2629744).

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

1288656 is a wasteful number, since it uses less digits than its factorization.

1288656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193 (or 181 counting only the distinct ones).

The product of its digits is 23040, while the sum is 36.

The square root of 1288656 is about 1135.1898519631. The cubic root of 1288656 is about 108.8209050084.

The spelling of 1288656 in words is "one million, two hundred eighty-eight thousand, six hundred fifty-six".