1006076721 has 16 divisors (see below), whose sum is σ = 1468308800. Its totient is φ = 608973120.

The previous prime is 1006076717. The next prime is 1006076777. The reversal of 1006076721 is 1276706001.

It is a happy number.

It is not a de Polignac number, because 1006076721 - 2² = 1006076717 is a prime.

It is a super-2 number, since 2×1006076721² = 2024380737076223682, which contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1006076321) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 209071 + ... + 213828.

It is an arithmetic number, because the mean of its divisors is an integer number (91769300).

Almost surely, 2^1006076721 is an apocalyptic number.

It is an amenable number.

1006076721 is a deficient number, since it is larger than the sum of its proper divisors (462232079).

1006076721 is a wasteful number, since it uses less digits than its factorization.

1006076721 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 422976.

The product of its (nonzero) digits is 3528, while the sum is 30.

The square root of 1006076721 is about 31718.7124738694. The cubic root of 1006076721 is about 1002.0214845135.

The spelling of 1006076721 in words is "one billion, six million, seventy-six thousand, seven hundred twenty-one".