1052688 has 80 divisors (see below), whose sum is σ = 3360896. Its totient is φ = 276480.

The previous prime is 1052663. The next prime is 1052693. The reversal of 1052688 is 8862501.

1052688 is an esthetic number in base 16, because in such base its adjacent digits differ by 1.

It is a super-2 number, since 2×1052688² = 2216304050688, which contains 22 as substring.

1052688 is an undulating number in base 16.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4248 + ... + 4488.

2^1052688 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 1052688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1680448).

1052688 is an abundant number, since it is smaller than the sum of its proper divisors (2308208).

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

1052688 is a wasteful number, since it uses less digits than its factorization.

1052688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272 (or 266 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 30.

The square root of 1052688 is about 1026.0058479366. The cubic root of 1052688 is about 101.7262942640.

The spelling of 1052688 in words is "one million, fifty-two thousand, six hundred eighty-eight".