1075688 has 32 divisors (see below), whose sum is σ = 2138400. Its totient is φ = 506688.

The previous prime is 1075681. The next prime is 1075691. The reversal of 1075688 is 8865701.

It is a happy number.

It is a Smith number, since the sum of its digits (35) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (1075681) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18203 + ... + 18261.

It is an arithmetic number, because the mean of its divisors is an integer number (66825).

2^1075688 is an apocalyptic number.

It is an amenable number.

1075688 is a deficient number, since it is larger than the sum of its proper divisors (1062712).

1075688 is a wasteful number, since it uses less digits than its factorization.

1075688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 35.

The square root of 1075688 is about 1037.1537976597. The cubic root of 1075688 is about 102.4618299280.

It can be divided in two parts, 1075 and 688, that multiplied together give a square (739600 = 860²).

The spelling of 1075688 in words is "one million, seventy-five thousand, six hundred eighty-eight".