1006947820 has 24 divisors (see below), whose sum is σ = 2206530144. Its totient is φ = 385266816.

The previous prime is 1006947793. The next prime is 1006947827. The reversal of 1006947820 is 287496001.

1006947820 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 1006947820.

It is not an unprimeable number, because it can be changed into a prime (1006947827) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1094049 + ... + 1094968.

It is an arithmetic number, because the mean of its divisors is an integer number (91938756).

Almost surely, 2^1006947820 is an apocalyptic number.

1006947820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1006947820 is an abundant number, since it is smaller than the sum of its proper divisors (1199582324).

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

1006947820 is a wasteful number, since it uses less digits than its factorization.

1006947820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2189049 (or 2189047 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 37.

The square root of 1006947820 is about 31732.4411289141. The cubic root of 1006947820 is about 1002.3105970294.

The spelling of 1006947820 in words is "one billion, six million, nine hundred forty-seven thousand, eight hundred twenty".