1006729506 has 32 divisors (see below), whose sum is σ = 2241720000. Its totient is φ = 334895040.

The previous prime is 1006729501. The next prime is 1006729517. The reversal of 1006729506 is 6059276001.

It is not an unprimeable number, because it can be changed into a prime (1006729501) 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, 8266 + ... + 45626.

It is an arithmetic number, because the mean of its divisors is an integer number (70053750).

Almost surely, 2^1006729506 is an apocalyptic number.

1006729506 is an abundant number, since it is smaller than the sum of its proper divisors (1234990494).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1006729506 is a wasteful number, since it uses less digits than its factorization.

1006729506 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37871 (or 37865 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 1006729506 is about 31729.0010242995. The cubic root of 1006729506 is about 1002.2381555890.

The spelling of 1006729506 in words is "one billion, six million, seven hundred twenty-nine thousand, five hundred six".