1006661734 has 64 divisors (see below), whose sum is σ = 1719083520. Its totient is φ = 439084800.

The previous prime is 1006661707. The next prime is 1006661737. The reversal of 1006661734 is 4371666001.

It is a self number, because there is not a number n which added to its sum of digits gives 1006661734.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1006661737) 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 31 ways as a sum of consecutive naturals, for example, 6666559 + ... + 6666709.

It is an arithmetic number, because the mean of its divisors is an integer number (26860680).

Almost surely, 2^1006661734 is an apocalyptic number.

1006661734 is a deficient number, since it is larger than the sum of its proper divisors (712421786).

1006661734 is a wasteful number, since it uses less digits than its factorization.

1006661734 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 365.

The product of its (nonzero) digits is 18144, while the sum is 34.

The square root of 1006661734 is about 31727.9330243872. The cubic root of 1006661734 is about 1002.2156652020.

It can be divided in two parts, 100666 and 1734, that added together give a square (102400 = 320²).

The spelling of 1006661734 in words is "one billion, six million, six hundred sixty-one thousand, seven hundred thirty-four".