1026688 has 32 divisors (see below), whose sum is σ = 2206260. Its totient is φ = 473088.

The previous prime is 1026679. The next prime is 1026709. The reversal of 1026688 is 8866201.

It can be written as a sum of positive squares in 2 ways, for example, as 788544 + 238144 = 888^2 + 488^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-4 number, since 4×1026688⁴ (a number of 25 digits) contains 4444 as substring.

It is a nialpdrome in base 4 and base 16.

It is a zygodrome in base 4.

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, 1356 + ... + 1972.

2^1026688 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 1026688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1103130).

1026688 is an abundant number, since it is smaller than the sum of its proper divisors (1179572).

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

1026688 is an equidigital number, since it uses as much as digits as its factorization.

1026688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 644 (or 632 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 31.

The square root of 1026688 is about 1013.2561374105. The cubic root of 1026688 is about 100.8818014073.

The spelling of 1026688 in words is "one million, twenty-six thousand, six hundred eighty-eight".