1288672 has 48 divisors (see below), whose sum is σ = 3169152. Its totient is φ = 501120.

The previous prime is 1288657. The next prime is 1288691. The reversal of 1288672 is 2768821.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2203 + ... + 2725.

It is an arithmetic number, because the mean of its divisors is an integer number (66024).

2^1288672 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 1288672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1584576).

1288672 is an abundant number, since it is smaller than the sum of its proper divisors (1880480).

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

1288672 is a wasteful number, since it uses less digits than its factorization.

1288672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 551 (or 543 counting only the distinct ones).

The product of its digits is 10752, while the sum is 34.

The square root of 1288672 is about 1135.1968992206. The cubic root of 1288672 is about 108.8213553813.

The spelling of 1288672 in words is "one million, two hundred eighty-eight thousand, six hundred seventy-two".