1006706431 has 16 divisors (see below), whose sum is σ = 1101312000. Its totient is φ = 916682400.

The previous prime is 1006706417. The next prime is 1006706443. The reversal of 1006706431 is 1346076001.

It is not a de Polignac number, because 1006706431 - 2⁹ = 1006705919 is a prime.

It is a super-2 number, since 2×1006706431² = 2026915676433515522, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1006706431.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1006706461) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 82026 + ... + 93496.

It is an arithmetic number, because the mean of its divisors is an integer number (68832000).

Almost surely, 2^1006706431 is an apocalyptic number.

1006706431 is a deficient number, since it is larger than the sum of its proper divisors (94605569).

1006706431 is a wasteful number, since it uses less digits than its factorization.

1006706431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11670.

The product of its (nonzero) digits is 3024, while the sum is 28.

The square root of 1006706431 is about 31728.6373958921. The cubic root of 1006706431 is about 1002.2304981789.

The spelling of 1006706431 in words is "one billion, six million, seven hundred six thousand, four hundred thirty-one".