1006641 has 16 divisors (see below), whose sum is σ = 1557120. Its totient is φ = 641520.

The previous prime is 1006637. The next prime is 1006651. The reversal of 1006641 is 1466001.

1006641 = 69² + 70² + ... + 149².

1006641 is a `hidden beast` number, since 1 + 0 + 0 + 664 + 1 = 666.

It is not a de Polignac number, because 1006641 - 2² = 1006637 is a prime.

It is a super-2 number, since 2×1006641² = 2026652205762, which contains 22 as substring.

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (1006651) by changing a digit.

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 in 15 ways as a sum of consecutive naturals, for example, 190 + ... + 1431.

It is an arithmetic number, because the mean of its divisors is an integer number (97320).

2^1006641 is an apocalyptic number.

It is an amenable number.

1006641 is a deficient number, since it is larger than the sum of its proper divisors (550479).

1006641 is a wasteful number, since it uses less digits than its factorization.

1006641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1653 (or 1647 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 1006641 is about 1003.3150053697. The cubic root of 1006641 is about 100.2208784346.

The spelling of 1006641 in words is "one million, six thousand, six hundred forty-one".