1005688 has 8 divisors (see below), whose sum is σ = 1885680. Its totient is φ = 502840.

The previous prime is 1005679. The next prime is 1005701. The reversal of 1005688 is 8865001.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (8).

It is a super-2 number, since 2×1005688² = 2022816706688, which contains 22 as substring.

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 62848 + ... + 62863.

It is an arithmetic number, because the mean of its divisors is an integer number (235710).

2^1005688 is an apocalyptic number.

It is an amenable number.

1005688 is a deficient number, since it is larger than the sum of its proper divisors (879992).

1005688 is a wasteful number, since it uses less digits than its factorization.

1005688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125717 (or 125713 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 28.

The square root of 1005688 is about 1002.8399672929. The cubic root of 1005688 is about 100.1892416501.

It can be divided in two parts, 100568 and 8, that added together give a triangular number (100576 = T₄₄₈).

The spelling of 1005688 in words is "one million, five thousand, six hundred eighty-eight".