1006704081 has 24 divisors (see below), whose sum is σ = 1470052584. Its totient is φ = 663828480.

The previous prime is 1006704077. The next prime is 1006704131. The reversal of 1006704081 is 1804076001.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 466560000 + 540144081 = 21600^2 + 23241^2 .

It is not a de Polignac number, because 1006704081 - 2² = 1006704077 is a prime.

It is a super-2 number, since 2×1006704081² = 2026906213404109122, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1006704001) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 319345 + ... + 322481.

It is an arithmetic number, because the mean of its divisors is an integer number (61252191).

Almost surely, 2^1006704081 is an apocalyptic number.

It is an amenable number.

1006704081 is a deficient number, since it is larger than the sum of its proper divisors (463348503).

1006704081 is a wasteful number, since it uses less digits than its factorization.

1006704081 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3521 (or 3518 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 1006704081 is about 31728.6003630794. The cubic root of 1006704081 is about 1002.2297183277.

The spelling of 1006704081 in words is "one billion, six million, seven hundred four thousand, eighty-one".